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Finding the Fourth Proportional to 3,998.14, 5,996.67 and 1,076.62

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Solution

The fourth proportional to 3,998.14, 5,996.67 and 1,076.62 is: 1,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.14 : 5,996.67 = 1,076.62 : x
  2. Step 2: Convert to fraction form
    3,998.14/5,996.67 = 1,076.62/x
  3. Step 3: Cross multiply
    3,998.14x = 5,996.67 × 1,076.62
  4. Step 4: Simplify right side
    3,998.14x = 6,456,129.47
  5. Step 5: Solve for x
    x = 6,456,129.47/3,998.14
  6. Step 6: Final answer
    x = 1,614.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.