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Finding the Fourth Proportional to 3,380.38, 4,668.13 and 3,196.31

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Solution

The fourth proportional to 3,380.38, 4,668.13 and 3,196.31 is: 4,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.38 : 4,668.13 = 3,196.31 : x
  2. Step 2: Convert to fraction form
    3,380.38/4,668.13 = 3,196.31/x
  3. Step 3: Cross multiply
    3,380.38x = 4,668.13 × 3,196.31
  4. Step 4: Simplify right side
    3,380.38x = 14,920,767.26
  5. Step 5: Solve for x
    x = 14,920,767.26/3,380.38
  6. Step 6: Final answer
    x = 4,413.94

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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.