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Finding the Fourth Proportional to 3,614.92, 5,422.02 and 2,452.38

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Solution

The fourth proportional to 3,614.92, 5,422.02 and 2,452.38 is: 3,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.92 : 5,422.02 = 2,452.38 : x
  2. Step 2: Convert to fraction form
    3,614.92/5,422.02 = 2,452.38/x
  3. Step 3: Cross multiply
    3,614.92x = 5,422.02 × 2,452.38
  4. Step 4: Simplify right side
    3,614.92x = 13,296,853.41
  5. Step 5: Solve for x
    x = 13,296,853.41/3,614.92
  6. Step 6: Final answer
    x = 3,678.33

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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.