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Finding the Fourth Proportional to 3,975.67, 5,962.96 and 1,633.42

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Solution

The fourth proportional to 3,975.67, 5,962.96 and 1,633.42 is: 2,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.67 : 5,962.96 = 1,633.42 : x
  2. Step 2: Convert to fraction form
    3,975.67/5,962.96 = 1,633.42/x
  3. Step 3: Cross multiply
    3,975.67x = 5,962.96 × 1,633.42
  4. Step 4: Simplify right side
    3,975.67x = 9,740,018.12
  5. Step 5: Solve for x
    x = 9,740,018.12/3,975.67
  6. Step 6: Final answer
    x = 2,449.91

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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.