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Finding the Fourth Proportional to 3,789.46, 5,229.46 and 2,196.41

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Solution

The fourth proportional to 3,789.46, 5,229.46 and 2,196.41 is: 3,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.46 : 5,229.46 = 2,196.41 : x
  2. Step 2: Convert to fraction form
    3,789.46/5,229.46 = 2,196.41/x
  3. Step 3: Cross multiply
    3,789.46x = 5,229.46 × 2,196.41
  4. Step 4: Simplify right side
    3,789.46x = 11,486,031.90
  5. Step 5: Solve for x
    x = 11,486,031.90/3,789.46
  6. Step 6: Final answer
    x = 3,031.05

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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.