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Finding the Fourth Proportional to 3,792.62, 5,234.10 and 2,199.71

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Solution

The fourth proportional to 3,792.62, 5,234.10 and 2,199.71 is: 3,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.62 : 5,234.10 = 2,199.71 : x
  2. Step 2: Convert to fraction form
    3,792.62/5,234.10 = 2,199.71/x
  3. Step 3: Cross multiply
    3,792.62x = 5,234.10 × 2,199.71
  4. Step 4: Simplify right side
    3,792.62x = 11,513,489.88
  5. Step 5: Solve for x
    x = 11,513,489.88/3,792.62
  6. Step 6: Final answer
    x = 3,035.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.