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Finding the Fourth Proportional to 3,827.38, 5,702.60 and 3,575.92

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Solution

The fourth proportional to 3,827.38, 5,702.60 and 3,575.92 is: 5,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.38 : 5,702.60 = 3,575.92 : x
  2. Step 2: Convert to fraction form
    3,827.38/5,702.60 = 3,575.92/x
  3. Step 3: Cross multiply
    3,827.38x = 5,702.60 × 3,575.92
  4. Step 4: Simplify right side
    3,827.38x = 20,392,041.39
  5. Step 5: Solve for x
    x = 20,392,041.39/3,827.38
  6. Step 6: Final answer
    x = 5,327.94

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