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Finding the Fourth Proportional to 3,856.70, 5,787.15 and 2,101.60

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Solution

The fourth proportional to 3,856.70, 5,787.15 and 2,101.60 is: 3,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.70 : 5,787.15 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    3,856.70/5,787.15 = 2,101.60/x
  3. Step 3: Cross multiply
    3,856.70x = 5,787.15 × 2,101.60
  4. Step 4: Simplify right side
    3,856.70x = 12,162,274.44
  5. Step 5: Solve for x
    x = 12,162,274.44/3,856.70
  6. Step 6: Final answer
    x = 3,153.54

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