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Finding the Fourth Proportional to 3,791.09, 5,686.63 and 1,158.48

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Solution

The fourth proportional to 3,791.09, 5,686.63 and 1,158.48 is: 1,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.09 : 5,686.63 = 1,158.48 : x
  2. Step 2: Convert to fraction form
    3,791.09/5,686.63 = 1,158.48/x
  3. Step 3: Cross multiply
    3,791.09x = 5,686.63 × 1,158.48
  4. Step 4: Simplify right side
    3,791.09x = 6,587,865.55
  5. Step 5: Solve for x
    x = 6,587,865.55/3,791.09
  6. Step 6: Final answer
    x = 1,737.73

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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.