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Finding the Fourth Proportional to 5,229.12, 7,843.06 and 1,942.27

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Solution

The fourth proportional to 5,229.12, 7,843.06 and 1,942.27 is: 2,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.12 : 7,843.06 = 1,942.27 : x
  2. Step 2: Convert to fraction form
    5,229.12/7,843.06 = 1,942.27/x
  3. Step 3: Cross multiply
    5,229.12x = 7,843.06 × 1,942.27
  4. Step 4: Simplify right side
    5,229.12x = 15,233,340.15
  5. Step 5: Solve for x
    x = 15,233,340.15/5,229.12
  6. Step 6: Final answer
    x = 2,913.17

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Similar ratio
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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.