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Finding the Fourth Proportional to 5,791.24, 7,991.85 and 3,138.64

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Solution

The fourth proportional to 5,791.24, 7,991.85 and 3,138.64 is: 4,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.24 : 7,991.85 = 3,138.64 : x
  2. Step 2: Convert to fraction form
    5,791.24/7,991.85 = 3,138.64/x
  3. Step 3: Cross multiply
    5,791.24x = 7,991.85 × 3,138.64
  4. Step 4: Simplify right side
    5,791.24x = 25,083,540.08
  5. Step 5: Solve for x
    x = 25,083,540.08/5,791.24
  6. Step 6: Final answer
    x = 4,331.29

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1.5x scale

Why These Related Problems?

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