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Finding the Fourth Proportional to 3,791.28, 5,686.02 and 1,158.08

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Solution

The fourth proportional to 3,791.28, 5,686.02 and 1,158.08 is: 1,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.28 : 5,686.02 = 1,158.08 : x
  2. Step 2: Convert to fraction form
    3,791.28/5,686.02 = 1,158.08/x
  3. Step 3: Cross multiply
    3,791.28x = 5,686.02 × 1,158.08
  4. Step 4: Simplify right side
    3,791.28x = 6,584,866.04
  5. Step 5: Solve for x
    x = 6,584,866.04/3,791.28
  6. Step 6: Final answer
    x = 1,736.85

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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.