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Finding the Fourth Proportional to 5,614.92, 8,419.07 and 2,493.43

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Solution

The fourth proportional to 5,614.92, 8,419.07 and 2,493.43 is: 3,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.92 : 8,419.07 = 2,493.43 : x
  2. Step 2: Convert to fraction form
    5,614.92/8,419.07 = 2,493.43/x
  3. Step 3: Cross multiply
    5,614.92x = 8,419.07 × 2,493.43
  4. Step 4: Simplify right side
    5,614.92x = 20,992,361.71
  5. Step 5: Solve for x
    x = 20,992,361.71/5,614.92
  6. Step 6: Final answer
    x = 3,738.68

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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.