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Finding the Fourth Proportional to 5,856.38, 8,778.07 and 2,569.04

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Solution

The fourth proportional to 5,856.38, 8,778.07 and 2,569.04 is: 3,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.38 : 8,778.07 = 2,569.04 : x
  2. Step 2: Convert to fraction form
    5,856.38/8,778.07 = 2,569.04/x
  3. Step 3: Cross multiply
    5,856.38x = 8,778.07 × 2,569.04
  4. Step 4: Simplify right side
    5,856.38x = 22,551,229.88
  5. Step 5: Solve for x
    x = 22,551,229.88/5,856.38
  6. Step 6: Final answer
    x = 3,850.71

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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.