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Finding the Fourth Proportional to 3,778.19, 5,209.54 and 3,067.88

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Solution

The fourth proportional to 3,778.19, 5,209.54 and 3,067.88 is: 4,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.19 : 5,209.54 = 3,067.88 : x
  2. Step 2: Convert to fraction form
    3,778.19/5,209.54 = 3,067.88/x
  3. Step 3: Cross multiply
    3,778.19x = 5,209.54 × 3,067.88
  4. Step 4: Simplify right side
    3,778.19x = 15,982,218.49
  5. Step 5: Solve for x
    x = 15,982,218.49/3,778.19
  6. Step 6: Final answer
    x = 4,230.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.