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Finding the Fourth Proportional to 4,520.49, 6,227.12 and 3,930

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Solution

The fourth proportional to 4,520.49, 6,227.12 and 3,930 is: 5,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.49 : 6,227.12 = 3,930 : x
  2. Step 2: Convert to fraction form
    4,520.49/6,227.12 = 3,930/x
  3. Step 3: Cross multiply
    4,520.49x = 6,227.12 × 3,930
  4. Step 4: Simplify right side
    4,520.49x = 24,472,561.95
  5. Step 5: Solve for x
    x = 24,472,561.95/4,520.49
  6. Step 6: Final answer
    x = 5,413.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.