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Finding the Fourth Proportional to 3,862.64, 5,794.52 and 1,914.80

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Solution

The fourth proportional to 3,862.64, 5,794.52 and 1,914.80 is: 2,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.64 : 5,794.52 = 1,914.80 : x
  2. Step 2: Convert to fraction form
    3,862.64/5,794.52 = 1,914.80/x
  3. Step 3: Cross multiply
    3,862.64x = 5,794.52 × 1,914.80
  4. Step 4: Simplify right side
    3,862.64x = 11,095,346.90
  5. Step 5: Solve for x
    x = 11,095,346.90/3,862.64
  6. Step 6: Final answer
    x = 2,872.48

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