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Finding the Fourth Proportional to 3,874.52, 5,341.20 and 2,545.94

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Solution

The fourth proportional to 3,874.52, 5,341.20 and 2,545.94 is: 3,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.52 : 5,341.20 = 2,545.94 : x
  2. Step 2: Convert to fraction form
    3,874.52/5,341.20 = 2,545.94/x
  3. Step 3: Cross multiply
    3,874.52x = 5,341.20 × 2,545.94
  4. Step 4: Simplify right side
    3,874.52x = 13,598,374.73
  5. Step 5: Solve for x
    x = 13,598,374.73/3,874.52
  6. Step 6: Final answer
    x = 3,509.69

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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.