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Finding the Fourth Proportional to 4,276.97, 5,902.22 and 2,413.97

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Solution

The fourth proportional to 4,276.97, 5,902.22 and 2,413.97 is: 3,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.97 : 5,902.22 = 2,413.97 : x
  2. Step 2: Convert to fraction form
    4,276.97/5,902.22 = 2,413.97/x
  3. Step 3: Cross multiply
    4,276.97x = 5,902.22 × 2,413.97
  4. Step 4: Simplify right side
    4,276.97x = 14,247,767.09
  5. Step 5: Solve for x
    x = 14,247,767.09/4,276.97
  6. Step 6: Final answer
    x = 3,331.28

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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.