Answer :
Final answer:
To find the weight of the fourth truck, the total weight of all four trucks is determined by multiplying the mean weight (3700 pounds) by four. Then the combined weight of the first three trucks is subtracted from this total, resulting in the fourth truck weighing 4020 pounds.
Explanation:
The question asks us to find the weight of the fourth truck when the mean weight of four trucks is known, along with the weights of the first three trucks. To calculate the weight of the fourth truck, we need to know the total weight of all four trucks, which we can find by multiplying the mean weight by the number of trucks. Then, we subtract the weights of the first three trucks to get the weight of the fourth one.
To start, let's multiply the mean weight of the trucks, which is 3700 pounds, by the number of trucks, which is 4:
3700 pounds/truck × 4 trucks = 14800 pounds
Next, we subtract the weights of the first three trucks from this total:
14800 pounds - (3250 + 3890 + 3640) pounds = 14800 - 10780 = 4020 pounds
Therefore, the fourth truck weighs 4020 pounds.