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Finding the Fourth Proportional to 3,275.64, 4,912.97 and 1,084.40

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Solution

The fourth proportional to 3,275.64, 4,912.97 and 1,084.40 is: 1,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.64 : 4,912.97 = 1,084.40 : x
  2. Step 2: Convert to fraction form
    3,275.64/4,912.97 = 1,084.40/x
  3. Step 3: Cross multiply
    3,275.64x = 4,912.97 × 1,084.40
  4. Step 4: Simplify right side
    3,275.64x = 5,327,594.68
  5. Step 5: Solve for x
    x = 5,327,594.68/3,275.64
  6. Step 6: Final answer
    x = 1,626.43

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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.