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Finding the Fourth Proportional to 5,105.96, 7,652.02 and 4,593.90

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Solution

The fourth proportional to 5,105.96, 7,652.02 and 4,593.90 is: 6,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.96 : 7,652.02 = 4,593.90 : x
  2. Step 2: Convert to fraction form
    5,105.96/7,652.02 = 4,593.90/x
  3. Step 3: Cross multiply
    5,105.96x = 7,652.02 × 4,593.90
  4. Step 4: Simplify right side
    5,105.96x = 35,152,614.68
  5. Step 5: Solve for x
    x = 35,152,614.68/5,105.96
  6. Step 6: Final answer
    x = 6,884.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.