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Finding the Fourth Proportional to 3,949.44, 5,450.80 and 2,378.40

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Solution

The fourth proportional to 3,949.44, 5,450.80 and 2,378.40 is: 3,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.44 : 5,450.80 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    3,949.44/5,450.80 = 2,378.40/x
  3. Step 3: Cross multiply
    3,949.44x = 5,450.80 × 2,378.40
  4. Step 4: Simplify right side
    3,949.44x = 12,964,182.72
  5. Step 5: Solve for x
    x = 12,964,182.72/3,949.44
  6. Step 6: Final answer
    x = 3,282.54

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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.