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Finding the Fourth Proportional to 6,553.92, 9,044.16 and 3,569.60

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Solution

The fourth proportional to 6,553.92, 9,044.16 and 3,569.60 is: 4,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.92 : 9,044.16 = 3,569.60 : x
  2. Step 2: Convert to fraction form
    6,553.92/9,044.16 = 3,569.60/x
  3. Step 3: Cross multiply
    6,553.92x = 9,044.16 × 3,569.60
  4. Step 4: Simplify right side
    6,553.92x = 32,284,033.54
  5. Step 5: Solve for x
    x = 32,284,033.54/6,553.92
  6. Step 6: Final answer
    x = 4,925.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.