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Finding the Fourth Proportional to 5,120.56, 7,677.44 and 2,000.86

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Solution

The fourth proportional to 5,120.56, 7,677.44 and 2,000.86 is: 2,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.56 : 7,677.44 = 2,000.86 : x
  2. Step 2: Convert to fraction form
    5,120.56/7,677.44 = 2,000.86/x
  3. Step 3: Cross multiply
    5,120.56x = 7,677.44 × 2,000.86
  4. Step 4: Simplify right side
    5,120.56x = 15,361,482.60
  5. Step 5: Solve for x
    x = 15,361,482.60/5,120.56
  6. Step 6: Final answer
    x = 2,999.96

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