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Finding the Fourth Proportional to 5,385.27, 8,077.89 and 1,687.78

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Solution

The fourth proportional to 5,385.27, 8,077.89 and 1,687.78 is: 2,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.27 : 8,077.89 = 1,687.78 : x
  2. Step 2: Convert to fraction form
    5,385.27/8,077.89 = 1,687.78/x
  3. Step 3: Cross multiply
    5,385.27x = 8,077.89 × 1,687.78
  4. Step 4: Simplify right side
    5,385.27x = 13,633,692.75
  5. Step 5: Solve for x
    x = 13,633,692.75/5,385.27
  6. Step 6: Final answer
    x = 2,531.67

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