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Finding the Fourth Proportional to 5,144.92, 7,713.28 and 2,221.17

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Solution

The fourth proportional to 5,144.92, 7,713.28 and 2,221.17 is: 3,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.92 : 7,713.28 = 2,221.17 : x
  2. Step 2: Convert to fraction form
    5,144.92/7,713.28 = 2,221.17/x
  3. Step 3: Cross multiply
    5,144.92x = 7,713.28 × 2,221.17
  4. Step 4: Simplify right side
    5,144.92x = 17,132,510.88
  5. Step 5: Solve for x
    x = 17,132,510.88/5,144.92
  6. Step 6: Final answer
    x = 3,329.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.