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Finding the Fourth Proportional to 3,467.97, 4,781.70 and 2,836.17

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Solution

The fourth proportional to 3,467.97, 4,781.70 and 2,836.17 is: 3,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.97 : 4,781.70 = 2,836.17 : x
  2. Step 2: Convert to fraction form
    3,467.97/4,781.70 = 2,836.17/x
  3. Step 3: Cross multiply
    3,467.97x = 4,781.70 × 2,836.17
  4. Step 4: Simplify right side
    3,467.97x = 13,561,714.09
  5. Step 5: Solve for x
    x = 13,561,714.09/3,467.97
  6. Step 6: Final answer
    x = 3,910.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.