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Finding the Fourth Proportional to 5,212.80, 7,819.20 and 2,094.30

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Solution

The fourth proportional to 5,212.80, 7,819.20 and 2,094.30 is: 3,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.80 : 7,819.20 = 2,094.30 : x
  2. Step 2: Convert to fraction form
    5,212.80/7,819.20 = 2,094.30/x
  3. Step 3: Cross multiply
    5,212.80x = 7,819.20 × 2,094.30
  4. Step 4: Simplify right side
    5,212.80x = 16,375,750.56
  5. Step 5: Solve for x
    x = 16,375,750.56/5,212.80
  6. Step 6: Final answer
    x = 3,141.45

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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.