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Finding the Fourth Proportional to 3,596.38, 5,387.66 and 2,205.66

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Solution

The fourth proportional to 3,596.38, 5,387.66 and 2,205.66 is: 3,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.38 : 5,387.66 = 2,205.66 : x
  2. Step 2: Convert to fraction form
    3,596.38/5,387.66 = 2,205.66/x
  3. Step 3: Cross multiply
    3,596.38x = 5,387.66 × 2,205.66
  4. Step 4: Simplify right side
    3,596.38x = 11,883,335.13
  5. Step 5: Solve for x
    x = 11,883,335.13/3,596.38
  6. Step 6: Final answer
    x = 3,304.25

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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.