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Finding the Fourth Proportional to 3,743.81, 5,617.65 and 1,665.30

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Solution

The fourth proportional to 3,743.81, 5,617.65 and 1,665.30 is: 2,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.81 : 5,617.65 = 1,665.30 : x
  2. Step 2: Convert to fraction form
    3,743.81/5,617.65 = 1,665.30/x
  3. Step 3: Cross multiply
    3,743.81x = 5,617.65 × 1,665.30
  4. Step 4: Simplify right side
    3,743.81x = 9,355,072.55
  5. Step 5: Solve for x
    x = 9,355,072.55/3,743.81
  6. Step 6: Final answer
    x = 2,498.81

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