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Finding the Fourth Proportional to 3,922.65, 5,413.25 and 2,154.25

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Solution

The fourth proportional to 3,922.65, 5,413.25 and 2,154.25 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.65 : 5,413.25 = 2,154.25 : x
  2. Step 2: Convert to fraction form
    3,922.65/5,413.25 = 2,154.25/x
  3. Step 3: Cross multiply
    3,922.65x = 5,413.25 × 2,154.25
  4. Step 4: Simplify right side
    3,922.65x = 11,661,493.81
  5. Step 5: Solve for x
    x = 11,661,493.81/3,922.65
  6. Step 6: Final answer
    x = 2,972.86

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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.