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Finding the Fourth Proportional to 3,946.77, 5,922.33 and 1,608.40

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Solution

The fourth proportional to 3,946.77, 5,922.33 and 1,608.40 is: 2,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.77 : 5,922.33 = 1,608.40 : x
  2. Step 2: Convert to fraction form
    3,946.77/5,922.33 = 1,608.40/x
  3. Step 3: Cross multiply
    3,946.77x = 5,922.33 × 1,608.40
  4. Step 4: Simplify right side
    3,946.77x = 9,525,460.77
  5. Step 5: Solve for x
    x = 9,525,460.77/3,946.77
  6. Step 6: Final answer
    x = 2,413.48

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