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Finding the Fourth Proportional to 3,922.68, 5,413.62 and 2,350.74

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Solution

The fourth proportional to 3,922.68, 5,413.62 and 2,350.74 is: 3,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.68 : 5,413.62 = 2,350.74 : x
  2. Step 2: Convert to fraction form
    3,922.68/5,413.62 = 2,350.74/x
  3. Step 3: Cross multiply
    3,922.68x = 5,413.62 × 2,350.74
  4. Step 4: Simplify right side
    3,922.68x = 12,726,013.08
  5. Step 5: Solve for x
    x = 12,726,013.08/3,922.68
  6. Step 6: Final answer
    x = 3,244.21

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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.