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Finding the Fourth Proportional to 3,209.54, 4,427.93 and 1,949.73

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Solution

The fourth proportional to 3,209.54, 4,427.93 and 1,949.73 is: 2,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.54 : 4,427.93 = 1,949.73 : x
  2. Step 2: Convert to fraction form
    3,209.54/4,427.93 = 1,949.73/x
  3. Step 3: Cross multiply
    3,209.54x = 4,427.93 × 1,949.73
  4. Step 4: Simplify right side
    3,209.54x = 8,633,258.21
  5. Step 5: Solve for x
    x = 8,633,258.21/3,209.54
  6. Step 6: Final answer
    x = 2,689.88

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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.