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Finding the Fourth Proportional to 3,924.87, 5,413.41 and 3,689.84

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Solution

The fourth proportional to 3,924.87, 5,413.41 and 3,689.84 is: 5,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.87 : 5,413.41 = 3,689.84 : x
  2. Step 2: Convert to fraction form
    3,924.87/5,413.41 = 3,689.84/x
  3. Step 3: Cross multiply
    3,924.87x = 5,413.41 × 3,689.84
  4. Step 4: Simplify right side
    3,924.87x = 19,974,589.69
  5. Step 5: Solve for x
    x = 19,974,589.69/3,924.87
  6. Step 6: Final answer
    x = 5,089.24

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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.