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Finding the Fourth Proportional to 3,217.92, 4,838.40 and 3,044.16

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Solution

The fourth proportional to 3,217.92, 4,838.40 and 3,044.16 is: 4,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.92 : 4,838.40 = 3,044.16 : x
  2. Step 2: Convert to fraction form
    3,217.92/4,838.40 = 3,044.16/x
  3. Step 3: Cross multiply
    3,217.92x = 4,838.40 × 3,044.16
  4. Step 4: Simplify right side
    3,217.92x = 14,728,863.74
  5. Step 5: Solve for x
    x = 14,728,863.74/3,217.92
  6. Step 6: Final answer
    x = 4,577.14

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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.