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Finding the Fourth Proportional to 5,892.29, 8,131.16 and 3,239.69

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Solution

The fourth proportional to 5,892.29, 8,131.16 and 3,239.69 is: 4,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.29 : 8,131.16 = 3,239.69 : x
  2. Step 2: Convert to fraction form
    5,892.29/8,131.16 = 3,239.69/x
  3. Step 3: Cross multiply
    5,892.29x = 8,131.16 × 3,239.69
  4. Step 4: Simplify right side
    5,892.29x = 26,342,380.89
  5. Step 5: Solve for x
    x = 26,342,380.89/5,892.29
  6. Step 6: Final answer
    x = 4,470.65

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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.