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Finding the Fourth Proportional to 6,131.43, 8,460 and 3,892.48

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Solution

The fourth proportional to 6,131.43, 8,460 and 3,892.48 is: 5,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.43 : 8,460 = 3,892.48 : x
  2. Step 2: Convert to fraction form
    6,131.43/8,460 = 3,892.48/x
  3. Step 3: Cross multiply
    6,131.43x = 8,460 × 3,892.48
  4. Step 4: Simplify right side
    6,131.43x = 32,930,359.65
  5. Step 5: Solve for x
    x = 32,930,359.65/6,131.43
  6. Step 6: Final answer
    x = 5,370.75

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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.