Home / 4,142.16-5,715-2,570.28

Finding the Fourth Proportional to 4,142.16, 5,715 and 2,570.28

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Solution

The fourth proportional to 4,142.16, 5,715 and 2,570.28 is: 3,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.16 : 5,715 = 2,570.28 : x
  2. Step 2: Convert to fraction form
    4,142.16/5,715 = 2,570.28/x
  3. Step 3: Cross multiply
    4,142.16x = 5,715 × 2,570.28
  4. Step 4: Simplify right side
    4,142.16x = 14,689,150.20
  5. Step 5: Solve for x
    x = 14,689,150.20/4,142.16
  6. Step 6: Final answer
    x = 3,546.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.