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Finding the Fourth Proportional to 5,591.96, 7,717.52 and 3,234

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Solution

The fourth proportional to 5,591.96, 7,717.52 and 3,234 is: 4,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.96 : 7,717.52 = 3,234 : x
  2. Step 2: Convert to fraction form
    5,591.96/7,717.52 = 3,234/x
  3. Step 3: Cross multiply
    5,591.96x = 7,717.52 × 3,234
  4. Step 4: Simplify right side
    5,591.96x = 24,958,459.68
  5. Step 5: Solve for x
    x = 24,958,459.68/5,591.96
  6. Step 6: Final answer
    x = 4,463.28

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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.