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Finding the Fourth Proportional to 4,115.73, 6,175.03 and 1,194.21

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Solution

The fourth proportional to 4,115.73, 6,175.03 and 1,194.21 is: 1,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.73 : 6,175.03 = 1,194.21 : x
  2. Step 2: Convert to fraction form
    4,115.73/6,175.03 = 1,194.21/x
  3. Step 3: Cross multiply
    4,115.73x = 6,175.03 × 1,194.21
  4. Step 4: Simplify right side
    4,115.73x = 7,374,251.70
  5. Step 5: Solve for x
    x = 7,374,251.70/4,115.73
  6. Step 6: Final answer
    x = 1,791.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.