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Finding the Fourth Proportional to 5,321.80, 7,981.14 and 2,546.92

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Solution

The fourth proportional to 5,321.80, 7,981.14 and 2,546.92 is: 3,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.80 : 7,981.14 = 2,546.92 : x
  2. Step 2: Convert to fraction form
    5,321.80/7,981.14 = 2,546.92/x
  3. Step 3: Cross multiply
    5,321.80x = 7,981.14 × 2,546.92
  4. Step 4: Simplify right side
    5,321.80x = 20,327,325.09
  5. Step 5: Solve for x
    x = 20,327,325.09/5,321.80
  6. Step 6: Final answer
    x = 3,819.63

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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.