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Finding the Fourth Proportional to 3,791.57, 5,687.42 and 1,159.16

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Solution

The fourth proportional to 3,791.57, 5,687.42 and 1,159.16 is: 1,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.57 : 5,687.42 = 1,159.16 : x
  2. Step 2: Convert to fraction form
    3,791.57/5,687.42 = 1,159.16/x
  3. Step 3: Cross multiply
    3,791.57x = 5,687.42 × 1,159.16
  4. Step 4: Simplify right side
    3,791.57x = 6,592,595.53
  5. Step 5: Solve for x
    x = 6,592,595.53/3,791.57
  6. Step 6: Final answer
    x = 1,738.75

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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.