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Finding the Fourth Proportional to 5,385.20, 8,077.80 and 1,687.74

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Solution

The fourth proportional to 5,385.20, 8,077.80 and 1,687.74 is: 2,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.20 : 8,077.80 = 1,687.74 : x
  2. Step 2: Convert to fraction form
    5,385.20/8,077.80 = 1,687.74/x
  3. Step 3: Cross multiply
    5,385.20x = 8,077.80 × 1,687.74
  4. Step 4: Simplify right side
    5,385.20x = 13,633,226.17
  5. Step 5: Solve for x
    x = 13,633,226.17/5,385.20
  6. Step 6: Final answer
    x = 2,531.61

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