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Finding the Fourth Proportional to 4,930.76, 7,413.24 and 3,963.68

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Solution

The fourth proportional to 4,930.76, 7,413.24 and 3,963.68 is: 5,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.76 : 7,413.24 = 3,963.68 : x
  2. Step 2: Convert to fraction form
    4,930.76/7,413.24 = 3,963.68/x
  3. Step 3: Cross multiply
    4,930.76x = 7,413.24 × 3,963.68
  4. Step 4: Simplify right side
    4,930.76x = 29,383,711.12
  5. Step 5: Solve for x
    x = 29,383,711.12/4,930.76
  6. Step 6: Final answer
    x = 5,959.27

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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.