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Finding the Fourth Proportional to 3,834.32, 5,753.08 and 2,102.72

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Solution

The fourth proportional to 3,834.32, 5,753.08 and 2,102.72 is: 3,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.32 : 5,753.08 = 2,102.72 : x
  2. Step 2: Convert to fraction form
    3,834.32/5,753.08 = 2,102.72/x
  3. Step 3: Cross multiply
    3,834.32x = 5,753.08 × 2,102.72
  4. Step 4: Simplify right side
    3,834.32x = 12,097,116.38
  5. Step 5: Solve for x
    x = 12,097,116.38/3,834.32
  6. Step 6: Final answer
    x = 3,154.96

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