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Finding the Fourth Proportional to 3,922.54, 5,413.14 and 2,154.18

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Solution

The fourth proportional to 3,922.54, 5,413.14 and 2,154.18 is: 2,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.54 : 5,413.14 = 2,154.18 : x
  2. Step 2: Convert to fraction form
    3,922.54/5,413.14 = 2,154.18/x
  3. Step 3: Cross multiply
    3,922.54x = 5,413.14 × 2,154.18
  4. Step 4: Simplify right side
    3,922.54x = 11,660,877.93
  5. Step 5: Solve for x
    x = 11,660,877.93/3,922.54
  6. Step 6: Final answer
    x = 2,972.79

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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.