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Finding the Fourth Proportional to 3,946.73, 5,922.17 and 1,608.47

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Solution

The fourth proportional to 3,946.73, 5,922.17 and 1,608.47 is: 2,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.73 : 5,922.17 = 1,608.47 : x
  2. Step 2: Convert to fraction form
    3,946.73/5,922.17 = 1,608.47/x
  3. Step 3: Cross multiply
    3,946.73x = 5,922.17 × 1,608.47
  4. Step 4: Simplify right side
    3,946.73x = 9,525,595.13
  5. Step 5: Solve for x
    x = 9,525,595.13/3,946.73
  6. Step 6: Final answer
    x = 2,413.54

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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.