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Finding the Fourth Proportional to 3,634.44, 5,454.81 and 2,249.01

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Solution

The fourth proportional to 3,634.44, 5,454.81 and 2,249.01 is: 3,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.44 : 5,454.81 = 2,249.01 : x
  2. Step 2: Convert to fraction form
    3,634.44/5,454.81 = 2,249.01/x
  3. Step 3: Cross multiply
    3,634.44x = 5,454.81 × 2,249.01
  4. Step 4: Simplify right side
    3,634.44x = 12,267,922.24
  5. Step 5: Solve for x
    x = 12,267,922.24/3,634.44
  6. Step 6: Final answer
    x = 3,375.46

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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.