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Finding the Fourth Proportional to 3,997.14, 5,995.49 and 1,223.79

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Solution

The fourth proportional to 3,997.14, 5,995.49 and 1,223.79 is: 1,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.14 : 5,995.49 = 1,223.79 : x
  2. Step 2: Convert to fraction form
    3,997.14/5,995.49 = 1,223.79/x
  3. Step 3: Cross multiply
    3,997.14x = 5,995.49 × 1,223.79
  4. Step 4: Simplify right side
    3,997.14x = 7,337,214.59
  5. Step 5: Solve for x
    x = 7,337,214.59/3,997.14
  6. Step 6: Final answer
    x = 1,835.62

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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.