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Finding the Fourth Proportional to 3,676.44, 5,073.61 and 1,997.97

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Solution

The fourth proportional to 3,676.44, 5,073.61 and 1,997.97 is: 2,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.44 : 5,073.61 = 1,997.97 : x
  2. Step 2: Convert to fraction form
    3,676.44/5,073.61 = 1,997.97/x
  3. Step 3: Cross multiply
    3,676.44x = 5,073.61 × 1,997.97
  4. Step 4: Simplify right side
    3,676.44x = 10,136,938.02
  5. Step 5: Solve for x
    x = 10,136,938.02/3,676.44
  6. Step 6: Final answer
    x = 2,757.27

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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.