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Finding the Fourth Proportional to 6,131.22, 8,456.52 and 3,891.15

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Solution

The fourth proportional to 6,131.22, 8,456.52 and 3,891.15 is: 5,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.22 : 8,456.52 = 3,891.15 : x
  2. Step 2: Convert to fraction form
    6,131.22/8,456.52 = 3,891.15/x
  3. Step 3: Cross multiply
    6,131.22x = 8,456.52 × 3,891.15
  4. Step 4: Simplify right side
    6,131.22x = 32,905,587.80
  5. Step 5: Solve for x
    x = 32,905,587.80/6,131.22
  6. Step 6: Final answer
    x = 5,366.89

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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.