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Finding the Fourth Proportional to 3,997.96, 5,996.99 and 1,224.66

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Solution

The fourth proportional to 3,997.96, 5,996.99 and 1,224.66 is: 1,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.96 : 5,996.99 = 1,224.66 : x
  2. Step 2: Convert to fraction form
    3,997.96/5,996.99 = 1,224.66/x
  3. Step 3: Cross multiply
    3,997.96x = 5,996.99 × 1,224.66
  4. Step 4: Simplify right side
    3,997.96x = 7,344,273.77
  5. Step 5: Solve for x
    x = 7,344,273.77/3,997.96
  6. Step 6: Final answer
    x = 1,837.01

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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.