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Finding the Fourth Proportional to 6,234.24, 8,602.32 and 3,998.16

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Solution

The fourth proportional to 6,234.24, 8,602.32 and 3,998.16 is: 5,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.24 : 8,602.32 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    6,234.24/8,602.32 = 3,998.16/x
  3. Step 3: Cross multiply
    6,234.24x = 8,602.32 × 3,998.16
  4. Step 4: Simplify right side
    6,234.24x = 34,393,451.73
  5. Step 5: Solve for x
    x = 34,393,451.73/6,234.24
  6. Step 6: Final answer
    x = 5,516.86

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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.