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Finding the Fourth Proportional to 4,693.92, 6,477.56 and 2,569.43

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Solution

The fourth proportional to 4,693.92, 6,477.56 and 2,569.43 is: 3,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.92 : 6,477.56 = 2,569.43 : x
  2. Step 2: Convert to fraction form
    4,693.92/6,477.56 = 2,569.43/x
  3. Step 3: Cross multiply
    4,693.92x = 6,477.56 × 2,569.43
  4. Step 4: Simplify right side
    4,693.92x = 16,643,613.54
  5. Step 5: Solve for x
    x = 16,643,613.54/4,693.92
  6. Step 6: Final answer
    x = 3,545.78

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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.