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Finding the Fourth Proportional to 3,282.43, 4,923.86 and 942.25

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Solution

The fourth proportional to 3,282.43, 4,923.86 and 942.25 is: 1,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.43 : 4,923.86 = 942.25 : x
  2. Step 2: Convert to fraction form
    3,282.43/4,923.86 = 942.25/x
  3. Step 3: Cross multiply
    3,282.43x = 4,923.86 × 942.25
  4. Step 4: Simplify right side
    3,282.43x = 4,639,510.05
  5. Step 5: Solve for x
    x = 4,639,510.05/3,282.43
  6. Step 6: Final answer
    x = 1,413.44

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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.