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Finding the Fourth Proportional to 3,997.14, 5,976 and 3,387.66

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Solution

The fourth proportional to 3,997.14, 5,976 and 3,387.66 is: 5,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.14 : 5,976 = 3,387.66 : x
  2. Step 2: Convert to fraction form
    3,997.14/5,976 = 3,387.66/x
  3. Step 3: Cross multiply
    3,997.14x = 5,976 × 3,387.66
  4. Step 4: Simplify right side
    3,997.14x = 20,244,656.16
  5. Step 5: Solve for x
    x = 20,244,656.16/3,997.14
  6. Step 6: Final answer
    x = 5,064.79

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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.