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Finding the Fourth Proportional to 5,791.41, 7,991.10 and 3,239.22

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Solution

The fourth proportional to 5,791.41, 7,991.10 and 3,239.22 is: 4,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.41 : 7,991.10 = 3,239.22 : x
  2. Step 2: Convert to fraction form
    5,791.41/7,991.10 = 3,239.22/x
  3. Step 3: Cross multiply
    5,791.41x = 7,991.10 × 3,239.22
  4. Step 4: Simplify right side
    5,791.41x = 25,884,930.94
  5. Step 5: Solve for x
    x = 25,884,930.94/5,791.41
  6. Step 6: Final answer
    x = 4,469.54

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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.