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Finding the Fourth Proportional to 3,828.80, 5,283.84 and 2,150.40

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Solution

The fourth proportional to 3,828.80, 5,283.84 and 2,150.40 is: 2,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.80 : 5,283.84 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    3,828.80/5,283.84 = 2,150.40/x
  3. Step 3: Cross multiply
    3,828.80x = 5,283.84 × 2,150.40
  4. Step 4: Simplify right side
    3,828.80x = 11,362,369.54
  5. Step 5: Solve for x
    x = 11,362,369.54/3,828.80
  6. Step 6: Final answer
    x = 2,967.61

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