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Finding the Fourth Proportional to 4,940.25, 7,413.29 and 1,822.43

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Solution

The fourth proportional to 4,940.25, 7,413.29 and 1,822.43 is: 2,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.25 : 7,413.29 = 1,822.43 : x
  2. Step 2: Convert to fraction form
    4,940.25/7,413.29 = 1,822.43/x
  3. Step 3: Cross multiply
    4,940.25x = 7,413.29 × 1,822.43
  4. Step 4: Simplify right side
    4,940.25x = 13,510,155.92
  5. Step 5: Solve for x
    x = 13,510,155.92/4,940.25
  6. Step 6: Final answer
    x = 2,734.71

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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.