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Finding the Fourth Proportional to 3,273.75, 4,912.79 and 1,542.51

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Solution

The fourth proportional to 3,273.75, 4,912.79 and 1,542.51 is: 2,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.75 : 4,912.79 = 1,542.51 : x
  2. Step 2: Convert to fraction form
    3,273.75/4,912.79 = 1,542.51/x
  3. Step 3: Cross multiply
    3,273.75x = 4,912.79 × 1,542.51
  4. Step 4: Simplify right side
    3,273.75x = 7,578,019.99
  5. Step 5: Solve for x
    x = 7,578,019.99/3,273.75
  6. Step 6: Final answer
    x = 2,314.78

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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.