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Finding the Fourth Proportional to 3,977.97, 5,489.85 and 2,299.44

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Solution

The fourth proportional to 3,977.97, 5,489.85 and 2,299.44 is: 3,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.97 : 5,489.85 = 2,299.44 : x
  2. Step 2: Convert to fraction form
    3,977.97/5,489.85 = 2,299.44/x
  3. Step 3: Cross multiply
    3,977.97x = 5,489.85 × 2,299.44
  4. Step 4: Simplify right side
    3,977.97x = 12,623,580.68
  5. Step 5: Solve for x
    x = 12,623,580.68/3,977.97
  6. Step 6: Final answer
    x = 3,173.37

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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.