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Finding the Fourth Proportional to 3,819.49, 5,719.51 and 2,434.39

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Solution

The fourth proportional to 3,819.49, 5,719.51 and 2,434.39 is: 3,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.49 : 5,719.51 = 2,434.39 : x
  2. Step 2: Convert to fraction form
    3,819.49/5,719.51 = 2,434.39/x
  3. Step 3: Cross multiply
    3,819.49x = 5,719.51 × 2,434.39
  4. Step 4: Simplify right side
    3,819.49x = 13,923,517.95
  5. Step 5: Solve for x
    x = 13,923,517.95/3,819.49
  6. Step 6: Final answer
    x = 3,645.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.