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Finding the Fourth Proportional to 5,385.60, 8,078.67 and 1,922.85

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Solution

The fourth proportional to 5,385.60, 8,078.67 and 1,922.85 is: 2,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.60 : 8,078.67 = 1,922.85 : x
  2. Step 2: Convert to fraction form
    5,385.60/8,078.67 = 1,922.85/x
  3. Step 3: Cross multiply
    5,385.60x = 8,078.67 × 1,922.85
  4. Step 4: Simplify right side
    5,385.60x = 15,534,070.61
  5. Step 5: Solve for x
    x = 15,534,070.61/5,385.60
  6. Step 6: Final answer
    x = 2,884.37

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