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Finding the Fourth Proportional to 6,115.96, 8,440.20 and 3,463.78

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Solution

The fourth proportional to 6,115.96, 8,440.20 and 3,463.78 is: 4,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.96 : 8,440.20 = 3,463.78 : x
  2. Step 2: Convert to fraction form
    6,115.96/8,440.20 = 3,463.78/x
  3. Step 3: Cross multiply
    6,115.96x = 8,440.20 × 3,463.78
  4. Step 4: Simplify right side
    6,115.96x = 29,234,995.96
  5. Step 5: Solve for x
    x = 29,234,995.96/6,115.96
  6. Step 6: Final answer
    x = 4,780.12

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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.