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Finding the Fourth Proportional to 3,857.58, 5,786.01 and 1,665.90

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Solution

The fourth proportional to 3,857.58, 5,786.01 and 1,665.90 is: 2,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.58 : 5,786.01 = 1,665.90 : x
  2. Step 2: Convert to fraction form
    3,857.58/5,786.01 = 1,665.90/x
  3. Step 3: Cross multiply
    3,857.58x = 5,786.01 × 1,665.90
  4. Step 4: Simplify right side
    3,857.58x = 9,638,914.06
  5. Step 5: Solve for x
    x = 9,638,914.06/3,857.58
  6. Step 6: Final answer
    x = 2,498.69

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