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Finding the Fourth Proportional to 5,785.72, 7,982.22 and 5,227

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Solution

The fourth proportional to 5,785.72, 7,982.22 and 5,227 is: 7,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.72 : 7,982.22 = 5,227 : x
  2. Step 2: Convert to fraction form
    5,785.72/7,982.22 = 5,227/x
  3. Step 3: Cross multiply
    5,785.72x = 7,982.22 × 5,227
  4. Step 4: Simplify right side
    5,785.72x = 41,723,063.94
  5. Step 5: Solve for x
    x = 41,723,063.94/5,785.72
  6. Step 6: Final answer
    x = 7,211.39

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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.