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Finding the Fourth Proportional to 3,166.62, 4,749.92 and 2,077.86

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Solution

The fourth proportional to 3,166.62, 4,749.92 and 2,077.86 is: 3,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.62 : 4,749.92 = 2,077.86 : x
  2. Step 2: Convert to fraction form
    3,166.62/4,749.92 = 2,077.86/x
  3. Step 3: Cross multiply
    3,166.62x = 4,749.92 × 2,077.86
  4. Step 4: Simplify right side
    3,166.62x = 9,869,668.77
  5. Step 5: Solve for x
    x = 9,869,668.77/3,166.62
  6. Step 6: Final answer
    x = 3,116.78

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