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Finding the Fourth Proportional to 3,855.38, 5,782.80 and 2,206.76

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Solution

The fourth proportional to 3,855.38, 5,782.80 and 2,206.76 is: 3,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.38 : 5,782.80 = 2,206.76 : x
  2. Step 2: Convert to fraction form
    3,855.38/5,782.80 = 2,206.76/x
  3. Step 3: Cross multiply
    3,855.38x = 5,782.80 × 2,206.76
  4. Step 4: Simplify right side
    3,855.38x = 12,761,251.73
  5. Step 5: Solve for x
    x = 12,761,251.73/3,855.38
  6. Step 6: Final answer
    x = 3,309.99

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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.