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Finding the Fourth Proportional to 3,997.84, 5,517.12 and 2,229.43

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Solution

The fourth proportional to 3,997.84, 5,517.12 and 2,229.43 is: 3,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.84 : 5,517.12 = 2,229.43 : x
  2. Step 2: Convert to fraction form
    3,997.84/5,517.12 = 2,229.43/x
  3. Step 3: Cross multiply
    3,997.84x = 5,517.12 × 2,229.43
  4. Step 4: Simplify right side
    3,997.84x = 12,300,032.84
  5. Step 5: Solve for x
    x = 12,300,032.84/3,997.84
  6. Step 6: Final answer
    x = 3,076.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.