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Finding the Fourth Proportional to 3,997.92, 5,518.24 and 3,202.50

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Solution

The fourth proportional to 3,997.92, 5,518.24 and 3,202.50 is: 4,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.92 : 5,518.24 = 3,202.50 : x
  2. Step 2: Convert to fraction form
    3,997.92/5,518.24 = 3,202.50/x
  3. Step 3: Cross multiply
    3,997.92x = 5,518.24 × 3,202.50
  4. Step 4: Simplify right side
    3,997.92x = 17,672,163.60
  5. Step 5: Solve for x
    x = 17,672,163.60/3,997.92
  6. Step 6: Final answer
    x = 4,420.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.