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Finding the Fourth Proportional to 5,116.45, 7,675.14 and 1,828.75

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Solution

The fourth proportional to 5,116.45, 7,675.14 and 1,828.75 is: 2,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.45 : 7,675.14 = 1,828.75 : x
  2. Step 2: Convert to fraction form
    5,116.45/7,675.14 = 1,828.75/x
  3. Step 3: Cross multiply
    5,116.45x = 7,675.14 × 1,828.75
  4. Step 4: Simplify right side
    5,116.45x = 14,035,912.28
  5. Step 5: Solve for x
    x = 14,035,912.28/5,116.45
  6. Step 6: Final answer
    x = 2,743.29

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