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Finding the Fourth Proportional to 3,855.14, 5,780.38 and 1,876.86

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Solution

The fourth proportional to 3,855.14, 5,780.38 and 1,876.86 is: 2,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.14 : 5,780.38 = 1,876.86 : x
  2. Step 2: Convert to fraction form
    3,855.14/5,780.38 = 1,876.86/x
  3. Step 3: Cross multiply
    3,855.14x = 5,780.38 × 1,876.86
  4. Step 4: Simplify right side
    3,855.14x = 10,848,964.01
  5. Step 5: Solve for x
    x = 10,848,964.01/3,855.14
  6. Step 6: Final answer
    x = 2,814.16

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