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Finding the Fourth Proportional to 3,891.44, 5,826.22 and 3,497.78

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Solution

The fourth proportional to 3,891.44, 5,826.22 and 3,497.78 is: 5,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.44 : 5,826.22 = 3,497.78 : x
  2. Step 2: Convert to fraction form
    3,891.44/5,826.22 = 3,497.78/x
  3. Step 3: Cross multiply
    3,891.44x = 5,826.22 × 3,497.78
  4. Step 4: Simplify right side
    3,891.44x = 20,378,835.79
  5. Step 5: Solve for x
    x = 20,378,835.79/3,891.44
  6. Step 6: Final answer
    x = 5,236.84

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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.