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Finding the Fourth Proportional to 3,493.58, 4,819.78 and 2,000.71

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Solution

The fourth proportional to 3,493.58, 4,819.78 and 2,000.71 is: 2,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.58 : 4,819.78 = 2,000.71 : x
  2. Step 2: Convert to fraction form
    3,493.58/4,819.78 = 2,000.71/x
  3. Step 3: Cross multiply
    3,493.58x = 4,819.78 × 2,000.71
  4. Step 4: Simplify right side
    3,493.58x = 9,642,947.94
  5. Step 5: Solve for x
    x = 9,642,947.94/3,493.58
  6. Step 6: Final answer
    x = 2,760.19

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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.