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Finding the Fourth Proportional to 3,614.27, 5,419.76 and 1,665

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Solution

The fourth proportional to 3,614.27, 5,419.76 and 1,665 is: 2,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.27 : 5,419.76 = 1,665 : x
  2. Step 2: Convert to fraction form
    3,614.27/5,419.76 = 1,665/x
  3. Step 3: Cross multiply
    3,614.27x = 5,419.76 × 1,665
  4. Step 4: Simplify right side
    3,614.27x = 9,023,892.08
  5. Step 5: Solve for x
    x = 9,023,892.08/3,614.27
  6. Step 6: Final answer
    x = 2,496.74

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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.