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Finding the Fourth Proportional to 3,588.57, 5,403.92 and 3,131.78

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Solution

The fourth proportional to 3,588.57, 5,403.92 and 3,131.78 is: 4,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.57 : 5,403.92 = 3,131.78 : x
  2. Step 2: Convert to fraction form
    3,588.57/5,403.92 = 3,131.78/x
  3. Step 3: Cross multiply
    3,588.57x = 5,403.92 × 3,131.78
  4. Step 4: Simplify right side
    3,588.57x = 16,923,845.90
  5. Step 5: Solve for x
    x = 16,923,845.90/3,588.57
  6. Step 6: Final answer
    x = 4,716.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.