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Finding the Fourth Proportional to 3,273.52, 4,912.24 and 1,222.96

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Solution

The fourth proportional to 3,273.52, 4,912.24 and 1,222.96 is: 1,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.52 : 4,912.24 = 1,222.96 : x
  2. Step 2: Convert to fraction form
    3,273.52/4,912.24 = 1,222.96/x
  3. Step 3: Cross multiply
    3,273.52x = 4,912.24 × 1,222.96
  4. Step 4: Simplify right side
    3,273.52x = 6,007,473.03
  5. Step 5: Solve for x
    x = 6,007,473.03/3,273.52
  6. Step 6: Final answer
    x = 1,835.17

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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.