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Finding the Fourth Proportional to 3,297.97, 4,946.82 and 2,857.78

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Solution

The fourth proportional to 3,297.97, 4,946.82 and 2,857.78 is: 4,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.97 : 4,946.82 = 2,857.78 : x
  2. Step 2: Convert to fraction form
    3,297.97/4,946.82 = 2,857.78/x
  3. Step 3: Cross multiply
    3,297.97x = 4,946.82 × 2,857.78
  4. Step 4: Simplify right side
    3,297.97x = 14,136,923.26
  5. Step 5: Solve for x
    x = 14,136,923.26/3,297.97
  6. Step 6: Final answer
    x = 4,286.55

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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.