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Finding the Fourth Proportional to 5,892.66, 8,131.64 and 3,239.78

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Solution

The fourth proportional to 5,892.66, 8,131.64 and 3,239.78 is: 4,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.66 : 8,131.64 = 3,239.78 : x
  2. Step 2: Convert to fraction form
    5,892.66/8,131.64 = 3,239.78/x
  3. Step 3: Cross multiply
    5,892.66x = 8,131.64 × 3,239.78
  4. Step 4: Simplify right side
    5,892.66x = 26,344,667.78
  5. Step 5: Solve for x
    x = 26,344,667.78/5,892.66
  6. Step 6: Final answer
    x = 4,470.76

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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.