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Finding the Fourth Proportional to 5,693.60, 8,545.20 and 2,578.40

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Solution

The fourth proportional to 5,693.60, 8,545.20 and 2,578.40 is: 3,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.60 : 8,545.20 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    5,693.60/8,545.20 = 2,578.40/x
  3. Step 3: Cross multiply
    5,693.60x = 8,545.20 × 2,578.40
  4. Step 4: Simplify right side
    5,693.60x = 22,032,943.68
  5. Step 5: Solve for x
    x = 22,032,943.68/5,693.60
  6. Step 6: Final answer
    x = 3,869.77

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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.