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Finding the Fourth Proportional to 3,759.64, 5,649.67 and 2,005.86

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Solution

The fourth proportional to 3,759.64, 5,649.67 and 2,005.86 is: 3,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.64 : 5,649.67 = 2,005.86 : x
  2. Step 2: Convert to fraction form
    3,759.64/5,649.67 = 2,005.86/x
  3. Step 3: Cross multiply
    3,759.64x = 5,649.67 × 2,005.86
  4. Step 4: Simplify right side
    3,759.64x = 11,332,476.40
  5. Step 5: Solve for x
    x = 11,332,476.40/3,759.64
  6. Step 6: Final answer
    x = 3,014.24

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