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Finding the Fourth Proportional to 4,301.96, 5,936.22 and 2,413.15

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Solution

The fourth proportional to 4,301.96, 5,936.22 and 2,413.15 is: 3,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.96 : 5,936.22 = 2,413.15 : x
  2. Step 2: Convert to fraction form
    4,301.96/5,936.22 = 2,413.15/x
  3. Step 3: Cross multiply
    4,301.96x = 5,936.22 × 2,413.15
  4. Step 4: Simplify right side
    4,301.96x = 14,324,991.15
  5. Step 5: Solve for x
    x = 14,324,991.15/4,301.96
  6. Step 6: Final answer
    x = 3,329.88

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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.