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Finding the Fourth Proportional to 3,998.90, 5,997.87 and 1,227.49

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Solution

The fourth proportional to 3,998.90, 5,997.87 and 1,227.49 is: 1,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.90 : 5,997.87 = 1,227.49 : x
  2. Step 2: Convert to fraction form
    3,998.90/5,997.87 = 1,227.49/x
  3. Step 3: Cross multiply
    3,998.90x = 5,997.87 × 1,227.49
  4. Step 4: Simplify right side
    3,998.90x = 7,362,295.46
  5. Step 5: Solve for x
    x = 7,362,295.46/3,998.90
  6. Step 6: Final answer
    x = 1,841.08

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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.