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Finding the Fourth Proportional to 5,593.50, 7,717.14 and 3,234.78

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Solution

The fourth proportional to 5,593.50, 7,717.14 and 3,234.78 is: 4,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.50 : 7,717.14 = 3,234.78 : x
  2. Step 2: Convert to fraction form
    5,593.50/7,717.14 = 3,234.78/x
  3. Step 3: Cross multiply
    5,593.50x = 7,717.14 × 3,234.78
  4. Step 4: Simplify right side
    5,593.50x = 24,963,250.13
  5. Step 5: Solve for x
    x = 24,963,250.13/5,593.50
  6. Step 6: Final answer
    x = 4,462.90

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1.5x scale

Why These Related Problems?

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