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Finding the Fourth Proportional to 3,273.64, 4,912.62 and 1,735.72

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Solution

The fourth proportional to 3,273.64, 4,912.62 and 1,735.72 is: 2,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.64 : 4,912.62 = 1,735.72 : x
  2. Step 2: Convert to fraction form
    3,273.64/4,912.62 = 1,735.72/x
  3. Step 3: Cross multiply
    3,273.64x = 4,912.62 × 1,735.72
  4. Step 4: Simplify right side
    3,273.64x = 8,526,932.79
  5. Step 5: Solve for x
    x = 8,526,932.79/3,273.64
  6. Step 6: Final answer
    x = 2,604.73

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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.