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Finding the Fourth Proportional to 5,678.31, 8,517.75 and 1,782.75

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Solution

The fourth proportional to 5,678.31, 8,517.75 and 1,782.75 is: 2,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.31 : 8,517.75 = 1,782.75 : x
  2. Step 2: Convert to fraction form
    5,678.31/8,517.75 = 1,782.75/x
  3. Step 3: Cross multiply
    5,678.31x = 8,517.75 × 1,782.75
  4. Step 4: Simplify right side
    5,678.31x = 15,185,018.81
  5. Step 5: Solve for x
    x = 15,185,018.81/5,678.31
  6. Step 6: Final answer
    x = 2,674.21

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