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Finding the Fourth Proportional to 2,705.91, 3,735.18 and 2,116.62

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Solution

The fourth proportional to 2,705.91, 3,735.18 and 2,116.62 is: 2,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.91 : 3,735.18 = 2,116.62 : x
  2. Step 2: Convert to fraction form
    2,705.91/3,735.18 = 2,116.62/x
  3. Step 3: Cross multiply
    2,705.91x = 3,735.18 × 2,116.62
  4. Step 4: Simplify right side
    2,705.91x = 7,905,956.69
  5. Step 5: Solve for x
    x = 7,905,956.69/2,705.91
  6. Step 6: Final answer
    x = 2,921.74

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