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Finding the Fourth Proportional to 3,872.71, 5,804.31 and 1,789.90

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Solution

The fourth proportional to 3,872.71, 5,804.31 and 1,789.90 is: 2,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.71 : 5,804.31 = 1,789.90 : x
  2. Step 2: Convert to fraction form
    3,872.71/5,804.31 = 1,789.90/x
  3. Step 3: Cross multiply
    3,872.71x = 5,804.31 × 1,789.90
  4. Step 4: Simplify right side
    3,872.71x = 10,389,111.01
  5. Step 5: Solve for x
    x = 10,389,111.01/3,872.71
  6. Step 6: Final answer
    x = 2,682.65

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