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Finding the Fourth Proportional to 3,874.34, 5,813.14 and 2,140.94

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Solution

The fourth proportional to 3,874.34, 5,813.14 and 2,140.94 is: 3,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.34 : 5,813.14 = 2,140.94 : x
  2. Step 2: Convert to fraction form
    3,874.34/5,813.14 = 2,140.94/x
  3. Step 3: Cross multiply
    3,874.34x = 5,813.14 × 2,140.94
  4. Step 4: Simplify right side
    3,874.34x = 12,445,583.95
  5. Step 5: Solve for x
    x = 12,445,583.95/3,874.34
  6. Step 6: Final answer
    x = 3,212.31

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