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Finding the Fourth Proportional to 3,229.75, 4,454.61 and 2,782.38

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Solution

The fourth proportional to 3,229.75, 4,454.61 and 2,782.38 is: 3,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.75 : 4,454.61 = 2,782.38 : x
  2. Step 2: Convert to fraction form
    3,229.75/4,454.61 = 2,782.38/x
  3. Step 3: Cross multiply
    3,229.75x = 4,454.61 × 2,782.38
  4. Step 4: Simplify right side
    3,229.75x = 12,394,402.11
  5. Step 5: Solve for x
    x = 12,394,402.11/3,229.75
  6. Step 6: Final answer
    x = 3,837.58

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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.