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Finding the Fourth Proportional to 3,997.92, 5,967.96 and 3,453.60

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Solution

The fourth proportional to 3,997.92, 5,967.96 and 3,453.60 is: 5,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.92 : 5,967.96 = 3,453.60 : x
  2. Step 2: Convert to fraction form
    3,997.92/5,967.96 = 3,453.60/x
  3. Step 3: Cross multiply
    3,997.92x = 5,967.96 × 3,453.60
  4. Step 4: Simplify right side
    3,997.92x = 20,610,946.66
  5. Step 5: Solve for x
    x = 20,610,946.66/3,997.92
  6. Step 6: Final answer
    x = 5,155.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.