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Finding the Fourth Proportional to 3,922.42, 5,413.02 and 2,154.03

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Solution

The fourth proportional to 3,922.42, 5,413.02 and 2,154.03 is: 2,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.42 : 5,413.02 = 2,154.03 : x
  2. Step 2: Convert to fraction form
    3,922.42/5,413.02 = 2,154.03/x
  3. Step 3: Cross multiply
    3,922.42x = 5,413.02 × 2,154.03
  4. Step 4: Simplify right side
    3,922.42x = 11,659,807.47
  5. Step 5: Solve for x
    x = 11,659,807.47/3,922.42
  6. Step 6: Final answer
    x = 2,972.61

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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.