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Finding the Fourth Proportional to 3,467.09, 5,198.49 and 1,493.97

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Solution

The fourth proportional to 3,467.09, 5,198.49 and 1,493.97 is: 2,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.09 : 5,198.49 = 1,493.97 : x
  2. Step 2: Convert to fraction form
    3,467.09/5,198.49 = 1,493.97/x
  3. Step 3: Cross multiply
    3,467.09x = 5,198.49 × 1,493.97
  4. Step 4: Simplify right side
    3,467.09x = 7,766,388.11
  5. Step 5: Solve for x
    x = 7,766,388.11/3,467.09
  6. Step 6: Final answer
    x = 2,240.03

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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.