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Finding the Fourth Proportional to 5,791.17, 7,991.73 and 3,138.55

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Solution

The fourth proportional to 5,791.17, 7,991.73 and 3,138.55 is: 4,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.17 : 7,991.73 = 3,138.55 : x
  2. Step 2: Convert to fraction form
    5,791.17/7,991.73 = 3,138.55/x
  3. Step 3: Cross multiply
    5,791.17x = 7,991.73 × 3,138.55
  4. Step 4: Simplify right side
    5,791.17x = 25,082,444.19
  5. Step 5: Solve for x
    x = 25,082,444.19/5,791.17
  6. Step 6: Final answer
    x = 4,331.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.