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Finding the Fourth Proportional to 3,843.62, 5,756.06 and 2,674.80

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Solution

The fourth proportional to 3,843.62, 5,756.06 and 2,674.80 is: 4,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.62 : 5,756.06 = 2,674.80 : x
  2. Step 2: Convert to fraction form
    3,843.62/5,756.06 = 2,674.80/x
  3. Step 3: Cross multiply
    3,843.62x = 5,756.06 × 2,674.80
  4. Step 4: Simplify right side
    3,843.62x = 15,396,309.29
  5. Step 5: Solve for x
    x = 15,396,309.29/3,843.62
  6. Step 6: Final answer
    x = 4,005.68

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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.