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Finding the Fourth Proportional to 4,942.62, 7,413.93 and 1,982.41

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Solution

The fourth proportional to 4,942.62, 7,413.93 and 1,982.41 is: 2,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.62 : 7,413.93 = 1,982.41 : x
  2. Step 2: Convert to fraction form
    4,942.62/7,413.93 = 1,982.41/x
  3. Step 3: Cross multiply
    4,942.62x = 7,413.93 × 1,982.41
  4. Step 4: Simplify right side
    4,942.62x = 14,697,430.44
  5. Step 5: Solve for x
    x = 14,697,430.44/4,942.62
  6. Step 6: Final answer
    x = 2,973.61

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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.