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Finding the Fourth Proportional to 3,922.43, 5,413.03 and 2,243.63

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Solution

The fourth proportional to 3,922.43, 5,413.03 and 2,243.63 is: 3,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.43 : 5,413.03 = 2,243.63 : x
  2. Step 2: Convert to fraction form
    3,922.43/5,413.03 = 2,243.63/x
  3. Step 3: Cross multiply
    3,922.43x = 5,413.03 × 2,243.63
  4. Step 4: Simplify right side
    3,922.43x = 12,144,844.42
  5. Step 5: Solve for x
    x = 12,144,844.42/3,922.43
  6. Step 6: Final answer
    x = 3,096.26

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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.