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Finding the Fourth Proportional to 5,116.62, 7,672.17 and 1,827.90

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Solution

The fourth proportional to 5,116.62, 7,672.17 and 1,827.90 is: 2,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.62 : 7,672.17 = 1,827.90 : x
  2. Step 2: Convert to fraction form
    5,116.62/7,672.17 = 1,827.90/x
  3. Step 3: Cross multiply
    5,116.62x = 7,672.17 × 1,827.90
  4. Step 4: Simplify right side
    5,116.62x = 14,023,959.54
  5. Step 5: Solve for x
    x = 14,023,959.54/5,116.62
  6. Step 6: Final answer
    x = 2,740.86

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