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Finding the Fourth Proportional to 4,616.73, 6,922.26 and 2,276.64

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Solution

The fourth proportional to 4,616.73, 6,922.26 and 2,276.64 is: 3,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.73 : 6,922.26 = 2,276.64 : x
  2. Step 2: Convert to fraction form
    4,616.73/6,922.26 = 2,276.64/x
  3. Step 3: Cross multiply
    4,616.73x = 6,922.26 × 2,276.64
  4. Step 4: Simplify right side
    4,616.73x = 15,759,494.01
  5. Step 5: Solve for x
    x = 15,759,494.01/4,616.73
  6. Step 6: Final answer
    x = 3,413.56

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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.