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Finding the Fourth Proportional to 3,759.84, 5,175.60 and 3,255.48

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Solution

The fourth proportional to 3,759.84, 5,175.60 and 3,255.48 is: 4,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.84 : 5,175.60 = 3,255.48 : x
  2. Step 2: Convert to fraction form
    3,759.84/5,175.60 = 3,255.48/x
  3. Step 3: Cross multiply
    3,759.84x = 5,175.60 × 3,255.48
  4. Step 4: Simplify right side
    3,759.84x = 16,849,062.29
  5. Step 5: Solve for x
    x = 16,849,062.29/3,759.84
  6. Step 6: Final answer
    x = 4,481.32

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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.