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Finding the Fourth Proportional to 3,867.44, 5,799.20 and 1,893.22

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Solution

The fourth proportional to 3,867.44, 5,799.20 and 1,893.22 is: 2,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.44 : 5,799.20 = 1,893.22 : x
  2. Step 2: Convert to fraction form
    3,867.44/5,799.20 = 1,893.22/x
  3. Step 3: Cross multiply
    3,867.44x = 5,799.20 × 1,893.22
  4. Step 4: Simplify right side
    3,867.44x = 10,979,151.66
  5. Step 5: Solve for x
    x = 10,979,151.66/3,867.44
  6. Step 6: Final answer
    x = 2,838.87

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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.