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Finding the Fourth Proportional to 3,848.64, 5,763.60 and 2,200.17

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Solution

The fourth proportional to 3,848.64, 5,763.60 and 2,200.17 is: 3,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,763.60 = 2,200.17 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,763.60 = 2,200.17/x
  3. Step 3: Cross multiply
    3,848.64x = 5,763.60 × 2,200.17
  4. Step 4: Simplify right side
    3,848.64x = 12,680,899.81
  5. Step 5: Solve for x
    x = 12,680,899.81/3,848.64
  6. Step 6: Final answer
    x = 3,294.90

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