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Finding the Fourth Proportional to 3,978.32, 5,965.42 and 1,785.16

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Solution

The fourth proportional to 3,978.32, 5,965.42 and 1,785.16 is: 2,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.32 : 5,965.42 = 1,785.16 : x
  2. Step 2: Convert to fraction form
    3,978.32/5,965.42 = 1,785.16/x
  3. Step 3: Cross multiply
    3,978.32x = 5,965.42 × 1,785.16
  4. Step 4: Simplify right side
    3,978.32x = 10,649,257.31
  5. Step 5: Solve for x
    x = 10,649,257.31/3,978.32
  6. Step 6: Final answer
    x = 2,676.83

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