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Finding the Fourth Proportional to 3,800.32, 5,702.64 and 1,608.88

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Solution

The fourth proportional to 3,800.32, 5,702.64 and 1,608.88 is: 2,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.32 : 5,702.64 = 1,608.88 : x
  2. Step 2: Convert to fraction form
    3,800.32/5,702.64 = 1,608.88/x
  3. Step 3: Cross multiply
    3,800.32x = 5,702.64 × 1,608.88
  4. Step 4: Simplify right side
    3,800.32x = 9,174,863.44
  5. Step 5: Solve for x
    x = 9,174,863.44/3,800.32
  6. Step 6: Final answer
    x = 2,414.23

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