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Finding the Fourth Proportional to 5,206.32, 7,805.37 and 1,917.61

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Solution

The fourth proportional to 5,206.32, 7,805.37 and 1,917.61 is: 2,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.32 : 7,805.37 = 1,917.61 : x
  2. Step 2: Convert to fraction form
    5,206.32/7,805.37 = 1,917.61/x
  3. Step 3: Cross multiply
    5,206.32x = 7,805.37 × 1,917.61
  4. Step 4: Simplify right side
    5,206.32x = 14,967,655.57
  5. Step 5: Solve for x
    x = 14,967,655.57/5,206.32
  6. Step 6: Final answer
    x = 2,874.90

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