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Finding the Fourth Proportional to 8,270.46, 12,413.91 and 3,891

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Solution

The fourth proportional to 8,270.46, 12,413.91 and 3,891 is: 5,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.46 : 12,413.91 = 3,891 : x
  2. Step 2: Convert to fraction form
    8,270.46/12,413.91 = 3,891/x
  3. Step 3: Cross multiply
    8,270.46x = 12,413.91 × 3,891
  4. Step 4: Simplify right side
    8,270.46x = 48,302,523.81
  5. Step 5: Solve for x
    x = 48,302,523.81/8,270.46
  6. Step 6: Final answer
    x = 5,840.37

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Why These Related Problems?

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