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Finding the Fourth Proportional to 5,593.86, 7,720.31 and 3,204.56

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Solution

The fourth proportional to 5,593.86, 7,720.31 and 3,204.56 is: 4,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.86 : 7,720.31 = 3,204.56 : x
  2. Step 2: Convert to fraction form
    5,593.86/7,720.31 = 3,204.56/x
  3. Step 3: Cross multiply
    5,593.86x = 7,720.31 × 3,204.56
  4. Step 4: Simplify right side
    5,593.86x = 24,740,223.93
  5. Step 5: Solve for x
    x = 24,740,223.93/5,593.86
  6. Step 6: Final answer
    x = 4,422.75

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