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Finding the Fourth Proportional to 3,646.62, 5,469.93 and 1,998.27

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Solution

The fourth proportional to 3,646.62, 5,469.93 and 1,998.27 is: 2,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.62 : 5,469.93 = 1,998.27 : x
  2. Step 2: Convert to fraction form
    3,646.62/5,469.93 = 1,998.27/x
  3. Step 3: Cross multiply
    3,646.62x = 5,469.93 × 1,998.27
  4. Step 4: Simplify right side
    3,646.62x = 10,930,397.02
  5. Step 5: Solve for x
    x = 10,930,397.02/3,646.62
  6. Step 6: Final answer
    x = 2,997.41

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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.