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Finding the Fourth Proportional to 5,200.44, 7,800.42 and 1,913.30

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Solution

The fourth proportional to 5,200.44, 7,800.42 and 1,913.30 is: 2,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.44 : 7,800.42 = 1,913.30 : x
  2. Step 2: Convert to fraction form
    5,200.44/7,800.42 = 1,913.30/x
  3. Step 3: Cross multiply
    5,200.44x = 7,800.42 × 1,913.30
  4. Step 4: Simplify right side
    5,200.44x = 14,924,504.58
  5. Step 5: Solve for x
    x = 14,924,504.58/5,200.44
  6. Step 6: Final answer
    x = 2,869.85

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