Consider a large water tank: If 3900L occupies 3/4 of the total capacity of the tank, how much water will the tank hold when it is full?
.75 w = 3900
so
w = 3900/.75 = 5200 Liters
To find out how much water the tank will hold when it is full, we can use a proportion. We know that 3900L represents 3/4 of the total capacity. Let's denote the total capacity as "x" (in liters).
The proportion will be: 3900L is to 3/4 as x is to 1.
We can set up the proportion like this: 3900 / (3/4) = x / 1.
To simplify the calculation, we can invert the denominator and multiply: 3900 / (3/4) = 3900 * (4/3) = 5200L.
Therefore, the tank will hold 5200L of water when it is full.