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Finding the Fourth Proportional to 3,593.98, 5,391.59 and 1,646.35

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Solution

The fourth proportional to 3,593.98, 5,391.59 and 1,646.35 is: 2,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.98 : 5,391.59 = 1,646.35 : x
  2. Step 2: Convert to fraction form
    3,593.98/5,391.59 = 1,646.35/x
  3. Step 3: Cross multiply
    3,593.98x = 5,391.59 × 1,646.35
  4. Step 4: Simplify right side
    3,593.98x = 8,876,435.96
  5. Step 5: Solve for x
    x = 8,876,435.96/3,593.98
  6. Step 6: Final answer
    x = 2,469.81

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