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Finding the Fourth Proportional to 5,329.50, 7,997.49 and 2,251.50

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Solution

The fourth proportional to 5,329.50, 7,997.49 and 2,251.50 is: 3,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.50 : 7,997.49 = 2,251.50 : x
  2. Step 2: Convert to fraction form
    5,329.50/7,997.49 = 2,251.50/x
  3. Step 3: Cross multiply
    5,329.50x = 7,997.49 × 2,251.50
  4. Step 4: Simplify right side
    5,329.50x = 18,006,348.74
  5. Step 5: Solve for x
    x = 18,006,348.74/5,329.50
  6. Step 6: Final answer
    x = 3,378.62

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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.