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Finding the Fourth Proportional to 3,966.90, 5,942.66 and 2,117.40

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Solution

The fourth proportional to 3,966.90, 5,942.66 and 2,117.40 is: 3,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.90 : 5,942.66 = 2,117.40 : x
  2. Step 2: Convert to fraction form
    3,966.90/5,942.66 = 2,117.40/x
  3. Step 3: Cross multiply
    3,966.90x = 5,942.66 × 2,117.40
  4. Step 4: Simplify right side
    3,966.90x = 12,582,977.70
  5. Step 5: Solve for x
    x = 12,582,977.70/3,966.90
  6. Step 6: Final answer
    x = 3,171.99

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