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Finding the Fourth Proportional to 3,209.53, 4,428.67 and 1,949.92

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Solution

The fourth proportional to 3,209.53, 4,428.67 and 1,949.92 is: 2,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.53 : 4,428.67 = 1,949.92 : x
  2. Step 2: Convert to fraction form
    3,209.53/4,428.67 = 1,949.92/x
  3. Step 3: Cross multiply
    3,209.53x = 4,428.67 × 1,949.92
  4. Step 4: Simplify right side
    3,209.53x = 8,635,520.31
  5. Step 5: Solve for x
    x = 8,635,520.31/3,209.53
  6. Step 6: Final answer
    x = 2,690.59

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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.