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Finding the Fourth Proportional to 3,844.96, 5,770.68 and 1,538.08

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Solution

The fourth proportional to 3,844.96, 5,770.68 and 1,538.08 is: 2,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.96 : 5,770.68 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    3,844.96/5,770.68 = 1,538.08/x
  3. Step 3: Cross multiply
    3,844.96x = 5,770.68 × 1,538.08
  4. Step 4: Simplify right side
    3,844.96x = 8,875,767.49
  5. Step 5: Solve for x
    x = 8,875,767.49/3,844.96
  6. Step 6: Final answer
    x = 2,308.42

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