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Finding the Fourth Proportional to 3,796.66, 5,694.09 and 1,946.83

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Solution

The fourth proportional to 3,796.66, 5,694.09 and 1,946.83 is: 2,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.66 : 5,694.09 = 1,946.83 : x
  2. Step 2: Convert to fraction form
    3,796.66/5,694.09 = 1,946.83/x
  3. Step 3: Cross multiply
    3,796.66x = 5,694.09 × 1,946.83
  4. Step 4: Simplify right side
    3,796.66x = 11,085,425.23
  5. Step 5: Solve for x
    x = 11,085,425.23/3,796.66
  6. Step 6: Final answer
    x = 2,919.78

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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.