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Finding the Fourth Proportional to 3,220.41, 4,434.29 and 2,819.78

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Solution

The fourth proportional to 3,220.41, 4,434.29 and 2,819.78 is: 3,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.41 : 4,434.29 = 2,819.78 : x
  2. Step 2: Convert to fraction form
    3,220.41/4,434.29 = 2,819.78/x
  3. Step 3: Cross multiply
    3,220.41x = 4,434.29 × 2,819.78
  4. Step 4: Simplify right side
    3,220.41x = 12,503,685.99
  5. Step 5: Solve for x
    x = 12,503,685.99/3,220.41
  6. Step 6: Final answer
    x = 3,882.64

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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.