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Finding the Fourth Proportional to 3,643.62, 5,468.22 and 2,672.25

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Solution

The fourth proportional to 3,643.62, 5,468.22 and 2,672.25 is: 4,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.62 : 5,468.22 = 2,672.25 : x
  2. Step 2: Convert to fraction form
    3,643.62/5,468.22 = 2,672.25/x
  3. Step 3: Cross multiply
    3,643.62x = 5,468.22 × 2,672.25
  4. Step 4: Simplify right side
    3,643.62x = 14,612,450.90
  5. Step 5: Solve for x
    x = 14,612,450.90/3,643.62
  6. Step 6: Final answer
    x = 4,010.42

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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.