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Finding the Fourth Proportional to 6,034.24, 8,327.10 and 3,381.82

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Solution

The fourth proportional to 6,034.24, 8,327.10 and 3,381.82 is: 4,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.24 : 8,327.10 = 3,381.82 : x
  2. Step 2: Convert to fraction form
    6,034.24/8,327.10 = 3,381.82/x
  3. Step 3: Cross multiply
    6,034.24x = 8,327.10 × 3,381.82
  4. Step 4: Simplify right side
    6,034.24x = 28,160,753.32
  5. Step 5: Solve for x
    x = 28,160,753.32/6,034.24
  6. Step 6: Final answer
    x = 4,666.83

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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.