The arithmetic mean of the four numbers is 5.02. the first number is equal to the second, the third number is 3.4

The arithmetic mean of the four numbers is 5.02. the first number is equal to the second, the third number is 3.4 times greater than the second, and a quarter is 0.4 times less than the third. find each number?

To solve this problem, remember, in order to find the arithmetic mean, you need to add all the numbers and divide their sum by their number. Let the first number be x, then the second number is x, the third number 3.4x, the fourth number 3.4x – 0.4. Knowing that the arithmetic mean of the four numbers is 5.02, let’s make an equation.

x + x + 3.4x + 3.4x – 0.4 / 4 = 5.02;

8.8x = 5.02 * 4;

8.8x = 20.08;

x = 20.08 / 8.8;

x = 2.2.

The first number is 2.2, the second number is 2.2, the third number is 3.4 * 2.2 = 7.48, the fourth number is 3.4 * 2.2 – 0.4 = 7.48 – 0.4 = 7 , 08.