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Finding the Fourth Proportional to 4,792.65, 7,183.23 and 2,819.22

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Solution

The fourth proportional to 4,792.65, 7,183.23 and 2,819.22 is: 4,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.65 : 7,183.23 = 2,819.22 : x
  2. Step 2: Convert to fraction form
    4,792.65/7,183.23 = 2,819.22/x
  3. Step 3: Cross multiply
    4,792.65x = 7,183.23 × 2,819.22
  4. Step 4: Simplify right side
    4,792.65x = 20,251,105.68
  5. Step 5: Solve for x
    x = 20,251,105.68/4,792.65
  6. Step 6: Final answer
    x = 4,225.45

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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.