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Finding the Fourth Proportional to 7,202.97, 10,804.46 and 2,819.88

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Solution

The fourth proportional to 7,202.97, 10,804.46 and 2,819.88 is: 4,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.97 : 10,804.46 = 2,819.88 : x
  2. Step 2: Convert to fraction form
    7,202.97/10,804.46 = 2,819.88/x
  3. Step 3: Cross multiply
    7,202.97x = 10,804.46 × 2,819.88
  4. Step 4: Simplify right side
    7,202.97x = 30,467,266.57
  5. Step 5: Solve for x
    x = 30,467,266.57/7,202.97
  6. Step 6: Final answer
    x = 4,229.82

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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.