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Finding the Fourth Proportional to 5,200.57, 7,801.35 and 1,913.73

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Solution

The fourth proportional to 5,200.57, 7,801.35 and 1,913.73 is: 2,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.57 : 7,801.35 = 1,913.73 : x
  2. Step 2: Convert to fraction form
    5,200.57/7,801.35 = 1,913.73/x
  3. Step 3: Cross multiply
    5,200.57x = 7,801.35 × 1,913.73
  4. Step 4: Simplify right side
    5,200.57x = 14,929,677.54
  5. Step 5: Solve for x
    x = 14,929,677.54/5,200.57
  6. Step 6: Final answer
    x = 2,870.78

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