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Finding the Fourth Proportional to 5,906.57, 8,854.82 and 2,617.87

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Solution

The fourth proportional to 5,906.57, 8,854.82 and 2,617.87 is: 3,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.57 : 8,854.82 = 2,617.87 : x
  2. Step 2: Convert to fraction form
    5,906.57/8,854.82 = 2,617.87/x
  3. Step 3: Cross multiply
    5,906.57x = 8,854.82 × 2,617.87
  4. Step 4: Simplify right side
    5,906.57x = 23,180,723.36
  5. Step 5: Solve for x
    x = 23,180,723.36/5,906.57
  6. Step 6: Final answer
    x = 3,924.57

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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.