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Finding the Fourth Proportional to 3,867.35, 5,802.84 and 1,786.05

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Solution

The fourth proportional to 3,867.35, 5,802.84 and 1,786.05 is: 2,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.35 : 5,802.84 = 1,786.05 : x
  2. Step 2: Convert to fraction form
    3,867.35/5,802.84 = 1,786.05/x
  3. Step 3: Cross multiply
    3,867.35x = 5,802.84 × 1,786.05
  4. Step 4: Simplify right side
    3,867.35x = 10,364,162.38
  5. Step 5: Solve for x
    x = 10,364,162.38/3,867.35
  6. Step 6: Final answer
    x = 2,679.92

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