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Finding the Fourth Proportional to 3,517.97, 4,850.38 and 2,256.80

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Solution

The fourth proportional to 3,517.97, 4,850.38 and 2,256.80 is: 3,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.97 : 4,850.38 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    3,517.97/4,850.38 = 2,256.80/x
  3. Step 3: Cross multiply
    3,517.97x = 4,850.38 × 2,256.80
  4. Step 4: Simplify right side
    3,517.97x = 10,946,316.15
  5. Step 5: Solve for x
    x = 10,946,316.15/3,517.97
  6. Step 6: Final answer
    x = 3,111.55

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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.