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Finding the Fourth Proportional to 5,791.68, 7,995.24 and 5,200.38

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Solution

The fourth proportional to 5,791.68, 7,995.24 and 5,200.38 is: 7,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.68 : 7,995.24 = 5,200.38 : x
  2. Step 2: Convert to fraction form
    5,791.68/7,995.24 = 5,200.38/x
  3. Step 3: Cross multiply
    5,791.68x = 7,995.24 × 5,200.38
  4. Step 4: Simplify right side
    5,791.68x = 41,578,286.19
  5. Step 5: Solve for x
    x = 41,578,286.19/5,791.68
  6. Step 6: Final answer
    x = 7,178.97

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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.