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Finding the Fourth Proportional to 5,892.25, 8,131.50 and 3,239.85

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Solution

The fourth proportional to 5,892.25, 8,131.50 and 3,239.85 is: 4,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.25 : 8,131.50 = 3,239.85 : x
  2. Step 2: Convert to fraction form
    5,892.25/8,131.50 = 3,239.85/x
  3. Step 3: Cross multiply
    5,892.25x = 8,131.50 × 3,239.85
  4. Step 4: Simplify right side
    5,892.25x = 26,344,824.08
  5. Step 5: Solve for x
    x = 26,344,824.08/5,892.25
  6. Step 6: Final answer
    x = 4,471.10

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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.