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Finding the Fourth Proportional to 5,940.56, 8,199.20 and 4,944.80

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Solution

The fourth proportional to 5,940.56, 8,199.20 and 4,944.80 is: 6,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.56 : 8,199.20 = 4,944.80 : x
  2. Step 2: Convert to fraction form
    5,940.56/8,199.20 = 4,944.80/x
  3. Step 3: Cross multiply
    5,940.56x = 8,199.20 × 4,944.80
  4. Step 4: Simplify right side
    5,940.56x = 40,543,404.16
  5. Step 5: Solve for x
    x = 40,543,404.16/5,940.56
  6. Step 6: Final answer
    x = 6,824.85

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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.