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Finding the Fourth Proportional to 3,700.68, 5,542.16 and 2,053.14

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Solution

The fourth proportional to 3,700.68, 5,542.16 and 2,053.14 is: 3,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.68 : 5,542.16 = 2,053.14 : x
  2. Step 2: Convert to fraction form
    3,700.68/5,542.16 = 2,053.14/x
  3. Step 3: Cross multiply
    3,700.68x = 5,542.16 × 2,053.14
  4. Step 4: Simplify right side
    3,700.68x = 11,378,830.38
  5. Step 5: Solve for x
    x = 11,378,830.38/3,700.68
  6. Step 6: Final answer
    x = 3,074.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.