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Finding the Fourth Proportional to 3,791.58, 5,687.43 and 1,159.14

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Solution

The fourth proportional to 3,791.58, 5,687.43 and 1,159.14 is: 1,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.58 : 5,687.43 = 1,159.14 : x
  2. Step 2: Convert to fraction form
    3,791.58/5,687.43 = 1,159.14/x
  3. Step 3: Cross multiply
    3,791.58x = 5,687.43 × 1,159.14
  4. Step 4: Simplify right side
    3,791.58x = 6,592,527.61
  5. Step 5: Solve for x
    x = 6,592,527.61/3,791.58
  6. Step 6: Final answer
    x = 1,738.73

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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.