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Finding the Fourth Proportional to 4,231.62, 6,345 and 3,987

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Solution

The fourth proportional to 4,231.62, 6,345 and 3,987 is: 5,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.62 : 6,345 = 3,987 : x
  2. Step 2: Convert to fraction form
    4,231.62/6,345 = 3,987/x
  3. Step 3: Cross multiply
    4,231.62x = 6,345 × 3,987
  4. Step 4: Simplify right side
    4,231.62x = 25,297,515
  5. Step 5: Solve for x
    x = 25,297,515/4,231.62
  6. Step 6: Final answer
    x = 5,978.21

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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.