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Finding the Fourth Proportional to 6,516.14, 8,991.86 and 3,998.24

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Solution

The fourth proportional to 6,516.14, 8,991.86 and 3,998.24 is: 5,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.14 : 8,991.86 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    6,516.14/8,991.86 = 3,998.24/x
  3. Step 3: Cross multiply
    6,516.14x = 8,991.86 × 3,998.24
  4. Step 4: Simplify right side
    6,516.14x = 35,951,614.33
  5. Step 5: Solve for x
    x = 35,951,614.33/6,516.14
  6. Step 6: Final answer
    x = 5,517.32

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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.