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Finding the Fourth Proportional to 5,413.88, 8,121.12 and 2,642.92

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Solution

The fourth proportional to 5,413.88, 8,121.12 and 2,642.92 is: 3,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.88 : 8,121.12 = 2,642.92 : x
  2. Step 2: Convert to fraction form
    5,413.88/8,121.12 = 2,642.92/x
  3. Step 3: Cross multiply
    5,413.88x = 8,121.12 × 2,642.92
  4. Step 4: Simplify right side
    5,413.88x = 21,463,470.47
  5. Step 5: Solve for x
    x = 21,463,470.47/5,413.88
  6. Step 6: Final answer
    x = 3,964.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.