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Finding the Fourth Proportional to 3,251, 4,876.50 and 942.52

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Solution

The fourth proportional to 3,251, 4,876.50 and 942.52 is: 1,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 4,876.50 = 942.52 : x
  2. Step 2: Convert to fraction form
    3,251/4,876.50 = 942.52/x
  3. Step 3: Cross multiply
    3,251x = 4,876.50 × 942.52
  4. Step 4: Simplify right side
    3,251x = 4,596,198.78
  5. Step 5: Solve for x
    x = 4,596,198.78/3,251
  6. Step 6: Final answer
    x = 1,413.78

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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.