What is the wisdom behind audibly reciting during the Maghrib, Isha, and Fajr prayers, and silently reciting during the Dhuhr and Asr prayers?

Recitation aloud and silently in prayer are among its sunan (recommended acts), not its wajibāt (obligatory acts). So, if a worshiper recites silently in a prayer where loud recitation is prescribed, their prayer is still valid. The fundamental principle is that a Muslim adheres to Allah's law by emulating the Prophet, peace and blessings be upon him, as Allah Almighty said: (Indeed, in the Messenger of Allah you have a good example to follow) and as the Prophet, peace and blessings be upon him, said: (Pray as you have seen me pray). Scholars have mentioned potential wisdoms behind loud recitation in specific prayers, among them that people are more receptive to benefit during the night and at dawn, and that gathering behind a single Imam, and the Imam's loud recitation serves as a completion for the two khutbahs (sermons) on Friday, and to differentiate between Dhuhr and Jumu'ah prayers, and to resemble the Eid prayer.