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Finding the Fourth Proportional to 3,783.82, 5,676.63 and 1,186.75

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Solution

The fourth proportional to 3,783.82, 5,676.63 and 1,186.75 is: 1,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.82 : 5,676.63 = 1,186.75 : x
  2. Step 2: Convert to fraction form
    3,783.82/5,676.63 = 1,186.75/x
  3. Step 3: Cross multiply
    3,783.82x = 5,676.63 × 1,186.75
  4. Step 4: Simplify right side
    3,783.82x = 6,736,740.65
  5. Step 5: Solve for x
    x = 6,736,740.65/3,783.82
  6. Step 6: Final answer
    x = 1,780.41

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