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Finding the Fourth Proportional to 3,614.52, 5,414.22 and 3,176.31

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Solution

The fourth proportional to 3,614.52, 5,414.22 and 3,176.31 is: 4,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.52 : 5,414.22 = 3,176.31 : x
  2. Step 2: Convert to fraction form
    3,614.52/5,414.22 = 3,176.31/x
  3. Step 3: Cross multiply
    3,614.52x = 5,414.22 × 3,176.31
  4. Step 4: Simplify right side
    3,614.52x = 17,197,241.13
  5. Step 5: Solve for x
    x = 17,197,241.13/3,614.52
  6. Step 6: Final answer
    x = 4,757.82

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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.