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Finding the Fourth Proportional to 3,634.98, 5,452.74 and 3,438.15

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Solution

The fourth proportional to 3,634.98, 5,452.74 and 3,438.15 is: 5,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.98 : 5,452.74 = 3,438.15 : x
  2. Step 2: Convert to fraction form
    3,634.98/5,452.74 = 3,438.15/x
  3. Step 3: Cross multiply
    3,634.98x = 5,452.74 × 3,438.15
  4. Step 4: Simplify right side
    3,634.98x = 18,747,338.03
  5. Step 5: Solve for x
    x = 18,747,338.03/3,634.98
  6. Step 6: Final answer
    x = 5,157.48

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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.