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Finding the Fourth Proportional to 5,200.70, 7,761.02 and 4,155.80

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Solution

The fourth proportional to 5,200.70, 7,761.02 and 4,155.80 is: 6,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,761.02 = 4,155.80 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,761.02 = 4,155.80/x
  3. Step 3: Cross multiply
    5,200.70x = 7,761.02 × 4,155.80
  4. Step 4: Simplify right side
    5,200.70x = 32,253,246.92
  5. Step 5: Solve for x
    x = 32,253,246.92/5,200.70
  6. Step 6: Final answer
    x = 6,201.71

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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.