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Finding the Fourth Proportional to 4,843.92, 7,266.78 and 1,922.28

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Solution

The fourth proportional to 4,843.92, 7,266.78 and 1,922.28 is: 2,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.92 : 7,266.78 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    4,843.92/7,266.78 = 1,922.28/x
  3. Step 3: Cross multiply
    4,843.92x = 7,266.78 × 1,922.28
  4. Step 4: Simplify right side
    4,843.92x = 13,968,785.86
  5. Step 5: Solve for x
    x = 13,968,785.86/4,843.92
  6. Step 6: Final answer
    x = 2,883.78

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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.