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Finding the Fourth Proportional to 5,593.68, 7,724.70 and 4,194

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Solution

The fourth proportional to 5,593.68, 7,724.70 and 4,194 is: 5,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.68 : 7,724.70 = 4,194 : x
  2. Step 2: Convert to fraction form
    5,593.68/7,724.70 = 4,194/x
  3. Step 3: Cross multiply
    5,593.68x = 7,724.70 × 4,194
  4. Step 4: Simplify right side
    5,593.68x = 32,397,391.80
  5. Step 5: Solve for x
    x = 32,397,391.80/5,593.68
  6. Step 6: Final answer
    x = 5,791.78

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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.