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Finding the Fourth Proportional to 5,791.24, 7,991.49 and 3,273.22

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Solution

The fourth proportional to 5,791.24, 7,991.49 and 3,273.22 is: 4,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.24 : 7,991.49 = 3,273.22 : x
  2. Step 2: Convert to fraction form
    5,791.24/7,991.49 = 3,273.22/x
  3. Step 3: Cross multiply
    5,791.24x = 7,991.49 × 3,273.22
  4. Step 4: Simplify right side
    5,791.24x = 26,157,904.90
  5. Step 5: Solve for x
    x = 26,157,904.90/5,791.24
  6. Step 6: Final answer
    x = 4,516.81

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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.