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Finding the Fourth Proportional to 5,205.25, 7,803.24 and 1,917.55

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Solution

The fourth proportional to 5,205.25, 7,803.24 and 1,917.55 is: 2,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.25 : 7,803.24 = 1,917.55 : x
  2. Step 2: Convert to fraction form
    5,205.25/7,803.24 = 1,917.55/x
  3. Step 3: Cross multiply
    5,205.25x = 7,803.24 × 1,917.55
  4. Step 4: Simplify right side
    5,205.25x = 14,963,102.86
  5. Step 5: Solve for x
    x = 14,963,102.86/5,205.25
  6. Step 6: Final answer
    x = 2,874.62

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