Determine the approximate value that should replace the question mark (?) in the following expression (you are not required to calculate the exact value):

$899÷44.8\times 4.05\times 69.8=?$

The correct option is 5600.

To find the approximate value of the given expression, we can round each number to its nearest convenient whole number or simple decimal value to simplify the calculations.

Let us approximate each term in the given mathematical expression:

$899\approx 900$

$44.8\approx 45$

$4.05\approx 4$

$69.8\approx 70$

Now, substitute these approximate values back into the original expression:

$?\approx 900÷45\times 4\times 70$

Step-by-step simplification:

First, perform the division:

$900÷45=20$

Next, substitute this result back into the expression:

$?\approx 20\times 4\times 70$

Multiply 20 by 4:

$20\times 4=80$

Finally, multiply 80 by 70:

$80\times 70=5600$

Therefore, the approximate value that should replace the question mark (?) is 5600.