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Finding the Fourth Proportional to 5,213.44, 7,812.78 and 1,923.22

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Solution

The fourth proportional to 5,213.44, 7,812.78 and 1,923.22 is: 2,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.44 : 7,812.78 = 1,923.22 : x
  2. Step 2: Convert to fraction form
    5,213.44/7,812.78 = 1,923.22/x
  3. Step 3: Cross multiply
    5,213.44x = 7,812.78 × 1,923.22
  4. Step 4: Simplify right side
    5,213.44x = 15,025,694.75
  5. Step 5: Solve for x
    x = 15,025,694.75/5,213.44
  6. Step 6: Final answer
    x = 2,882.11

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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.