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Finding the Fourth Proportional to 3,826.54, 5,727.84 and 3,503.44

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Solution

The fourth proportional to 3,826.54, 5,727.84 and 3,503.44 is: 5,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.54 : 5,727.84 = 3,503.44 : x
  2. Step 2: Convert to fraction form
    3,826.54/5,727.84 = 3,503.44/x
  3. Step 3: Cross multiply
    3,826.54x = 5,727.84 × 3,503.44
  4. Step 4: Simplify right side
    3,826.54x = 20,067,143.77
  5. Step 5: Solve for x
    x = 20,067,143.77/3,826.54
  6. Step 6: Final answer
    x = 5,244.20

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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.