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Finding the Fourth Proportional to 5,342.68, 7,372.92 and 3,105.87

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Solution

The fourth proportional to 5,342.68, 7,372.92 and 3,105.87 is: 4,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.68 : 7,372.92 = 3,105.87 : x
  2. Step 2: Convert to fraction form
    5,342.68/7,372.92 = 3,105.87/x
  3. Step 3: Cross multiply
    5,342.68x = 7,372.92 × 3,105.87
  4. Step 4: Simplify right side
    5,342.68x = 22,899,331.04
  5. Step 5: Solve for x
    x = 22,899,331.04/5,342.68
  6. Step 6: Final answer
    x = 4,286.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.