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Finding the Fourth Proportional to 3,498.85, 5,249.03 and 1,744.80

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Solution

The fourth proportional to 3,498.85, 5,249.03 and 1,744.80 is: 2,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.85 : 5,249.03 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    3,498.85/5,249.03 = 1,744.80/x
  3. Step 3: Cross multiply
    3,498.85x = 5,249.03 × 1,744.80
  4. Step 4: Simplify right side
    3,498.85x = 9,158,507.54
  5. Step 5: Solve for x
    x = 9,158,507.54/3,498.85
  6. Step 6: Final answer
    x = 2,617.58

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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.