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Finding the Fourth Proportional to 3,593.61, 5,391.02 and 1,645.96

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Solution

The fourth proportional to 3,593.61, 5,391.02 and 1,645.96 is: 2,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.61 : 5,391.02 = 1,645.96 : x
  2. Step 2: Convert to fraction form
    3,593.61/5,391.02 = 1,645.96/x
  3. Step 3: Cross multiply
    3,593.61x = 5,391.02 × 1,645.96
  4. Step 4: Simplify right side
    3,593.61x = 8,873,403.28
  5. Step 5: Solve for x
    x = 8,873,403.28/3,593.61
  6. Step 6: Final answer
    x = 2,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.