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Finding the Fourth Proportional to 4,954.92, 7,428.54 and 2,217

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Solution

The fourth proportional to 4,954.92, 7,428.54 and 2,217 is: 3,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.92 : 7,428.54 = 2,217 : x
  2. Step 2: Convert to fraction form
    4,954.92/7,428.54 = 2,217/x
  3. Step 3: Cross multiply
    4,954.92x = 7,428.54 × 2,217
  4. Step 4: Simplify right side
    4,954.92x = 16,469,073.18
  5. Step 5: Solve for x
    x = 16,469,073.18/4,954.92
  6. Step 6: Final answer
    x = 3,323.78

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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.