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Finding the Fourth Proportional to 4,546.62, 6,806.91 and 3,083.16

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Solution

The fourth proportional to 4,546.62, 6,806.91 and 3,083.16 is: 4,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.62 : 6,806.91 = 3,083.16 : x
  2. Step 2: Convert to fraction form
    4,546.62/6,806.91 = 3,083.16/x
  3. Step 3: Cross multiply
    4,546.62x = 6,806.91 × 3,083.16
  4. Step 4: Simplify right side
    4,546.62x = 20,986,792.64
  5. Step 5: Solve for x
    x = 20,986,792.64/4,546.62
  6. Step 6: Final answer
    x = 4,615.91

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