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Finding the Fourth Proportional to 5,301.73, 7,951.78 and 3,194.52

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Solution

The fourth proportional to 5,301.73, 7,951.78 and 3,194.52 is: 4,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.73 : 7,951.78 = 3,194.52 : x
  2. Step 2: Convert to fraction form
    5,301.73/7,951.78 = 3,194.52/x
  3. Step 3: Cross multiply
    5,301.73x = 7,951.78 × 3,194.52
  4. Step 4: Simplify right side
    5,301.73x = 25,402,120.25
  5. Step 5: Solve for x
    x = 25,402,120.25/5,301.73
  6. Step 6: Final answer
    x = 4,791.29

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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.