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Finding the Fourth Proportional to 3,791.59, 5,687.48 and 2,038.14

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Solution

The fourth proportional to 3,791.59, 5,687.48 and 2,038.14 is: 3,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.59 : 5,687.48 = 2,038.14 : x
  2. Step 2: Convert to fraction form
    3,791.59/5,687.48 = 2,038.14/x
  3. Step 3: Cross multiply
    3,791.59x = 5,687.48 × 2,038.14
  4. Step 4: Simplify right side
    3,791.59x = 11,591,880.49
  5. Step 5: Solve for x
    x = 11,591,880.49/3,791.59
  6. Step 6: Final answer
    x = 3,057.26

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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.