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Finding the Fourth Proportional to 5,251.96, 7,892.34 and 5,057.56

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Solution

The fourth proportional to 5,251.96, 7,892.34 and 5,057.56 is: 7,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.96 : 7,892.34 = 5,057.56 : x
  2. Step 2: Convert to fraction form
    5,251.96/7,892.34 = 5,057.56/x
  3. Step 3: Cross multiply
    5,251.96x = 7,892.34 × 5,057.56
  4. Step 4: Simplify right side
    5,251.96x = 39,915,983.09
  5. Step 5: Solve for x
    x = 39,915,983.09/5,251.96
  6. Step 6: Final answer
    x = 7,600.21

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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.