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Finding the Fourth Proportional to 5,459.87, 8,191.87 and 3,270.17

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Solution

The fourth proportional to 5,459.87, 8,191.87 and 3,270.17 is: 4,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.87 : 8,191.87 = 3,270.17 : x
  2. Step 2: Convert to fraction form
    5,459.87/8,191.87 = 3,270.17/x
  3. Step 3: Cross multiply
    5,459.87x = 8,191.87 × 3,270.17
  4. Step 4: Simplify right side
    5,459.87x = 26,788,819.82
  5. Step 5: Solve for x
    x = 26,788,819.82/5,459.87
  6. Step 6: Final answer
    x = 4,906.49

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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.