4800
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Well, let's take a moment to appreciate the number 4782. When we round it to the nearest hundred, we look at the digit in the hundreds place, which is 7. Since the digit to the right of 7 is 8, we round 4782 up to 4800. Just like adding a happy little touch to a painting, rounding helps us simplify numbers and see the bigger picture.
Oh, dude, you're really making me do math right now? Okay, fine. So, 4782 rounded to the nearest hundred is 4800. There you go, hope that satisfies your burning desire for mathematical accuracy.