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Finding the Fourth Proportional to 5,321.33, 7,982.99 and 2,546.12

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Solution

The fourth proportional to 5,321.33, 7,982.99 and 2,546.12 is: 3,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.33 : 7,982.99 = 2,546.12 : x
  2. Step 2: Convert to fraction form
    5,321.33/7,982.99 = 2,546.12/x
  3. Step 3: Cross multiply
    5,321.33x = 7,982.99 × 2,546.12
  4. Step 4: Simplify right side
    5,321.33x = 20,325,650.50
  5. Step 5: Solve for x
    x = 20,325,650.50/5,321.33
  6. Step 6: Final answer
    x = 3,819.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.