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Finding the Fourth Proportional to 3,997.96, 5,989.65 and 2,946.38

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Solution

The fourth proportional to 3,997.96, 5,989.65 and 2,946.38 is: 4,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.96 : 5,989.65 = 2,946.38 : x
  2. Step 2: Convert to fraction form
    3,997.96/5,989.65 = 2,946.38/x
  3. Step 3: Cross multiply
    3,997.96x = 5,989.65 × 2,946.38
  4. Step 4: Simplify right side
    3,997.96x = 17,647,743.97
  5. Step 5: Solve for x
    x = 17,647,743.97/3,997.96
  6. Step 6: Final answer
    x = 4,414.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.