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Finding the Fourth Proportional to 3,694.74, 5,542.74 and 1,228.92

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Solution

The fourth proportional to 3,694.74, 5,542.74 and 1,228.92 is: 1,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.74 : 5,542.74 = 1,228.92 : x
  2. Step 2: Convert to fraction form
    3,694.74/5,542.74 = 1,228.92/x
  3. Step 3: Cross multiply
    3,694.74x = 5,542.74 × 1,228.92
  4. Step 4: Simplify right side
    3,694.74x = 6,811,584.04
  5. Step 5: Solve for x
    x = 6,811,584.04/3,694.74
  6. Step 6: Final answer
    x = 1,843.59

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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.