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Finding the Fourth Proportional to 3,759.96, 5,175.12 and 3,464.70

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Solution

The fourth proportional to 3,759.96, 5,175.12 and 3,464.70 is: 4,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.96 : 5,175.12 = 3,464.70 : x
  2. Step 2: Convert to fraction form
    3,759.96/5,175.12 = 3,464.70/x
  3. Step 3: Cross multiply
    3,759.96x = 5,175.12 × 3,464.70
  4. Step 4: Simplify right side
    3,759.96x = 17,930,238.26
  5. Step 5: Solve for x
    x = 17,930,238.26/3,759.96
  6. Step 6: Final answer
    x = 4,768.73

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