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Finding the Fourth Proportional to 5,791.85, 7,992.75 and 3,139.25

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Solution

The fourth proportional to 5,791.85, 7,992.75 and 3,139.25 is: 4,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.85 : 7,992.75 = 3,139.25 : x
  2. Step 2: Convert to fraction form
    5,791.85/7,992.75 = 3,139.25/x
  3. Step 3: Cross multiply
    5,791.85x = 7,992.75 × 3,139.25
  4. Step 4: Simplify right side
    5,791.85x = 25,091,240.44
  5. Step 5: Solve for x
    x = 25,091,240.44/5,791.85
  6. Step 6: Final answer
    x = 4,332.16

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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.