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Finding the Fourth Proportional to 3,297.97, 4,944.23 and 1,542.09

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Solution

The fourth proportional to 3,297.97, 4,944.23 and 1,542.09 is: 2,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.97 : 4,944.23 = 1,542.09 : x
  2. Step 2: Convert to fraction form
    3,297.97/4,944.23 = 1,542.09/x
  3. Step 3: Cross multiply
    3,297.97x = 4,944.23 × 1,542.09
  4. Step 4: Simplify right side
    3,297.97x = 7,624,447.64
  5. Step 5: Solve for x
    x = 7,624,447.64/3,297.97
  6. Step 6: Final answer
    x = 2,311.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.