Scalanie dwóch wielowymiarowych tablic na określonym kluczu

Powiedzmy, że mam następujące tablice:

Array
    (
        [0] => Array
            (
                [id] => 5
                [name] => Education
            )

        [1] => Array
            (
                [id] => 4
                [name] => Computers
            )

        [3] => Array
            (
                [id] => 7
                [name] => Science

        [4] => Array
            (
                [id] => 1
                [name] => Sports
            )
    )

A drugi:

Array
    (
        [0] => Array
            (
                [id] => 1
                [title] => Sport
            )

        [1] => Array
            (
                [id] => 7
                [title] => Sci
            )

        [3] => Array
            (
                [id] => 4
                [title] => Comp

        [4] => Array
            (
                [id] => 5
                [title] => Edu
            )
    )

A pożądane wyjście to:

Array
    (
        [0] => Array
            (
                [id] => 5
                [name] => Education
                [title] => Edu
            )

        [1] => Array
            (
                [id] => 4
                [name] => Computers
                [title] => Comp
            )

        [3] => Array
            (
                [id] => 7
                [name] => Science
                [title] => Sci

        [4] => Array
            (
                [id] => 1
                [name] => Sports
                [title] => Sport
            )
    )

Udało mi się połączyć te tablice po prostu:

foreach($first as $key => $value){
    $result[$key] = array_merge($first[$key], $second[$key]);
}

Ale wynik nie jest poprawnie połączony:

Array
    (
        [0] => Array
            (
                [id] => 5
                [name] => Education
                [title] => Sport
            )

        [1] => Array
            (
                [id] => 4
                [name] => Computers
                [title] => Sci
            )

        [3] => Array
            (
                [id] => 7
                [name] => Science
                [title] => Comp

        [4] => Array
            (
                [id] => 1
                [name] => Sports
                [title] => Edu
            )
    )

Problem polega na tym, że chciałbym połączyć te tablice na tym samymid. Żądane sortowanie wyjścia powinno być takie samo jak w pierwszej tablicy.

Jak mogę to osiągnąć? Każda pomoc jest bardzo ceniona.

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