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Finding the Fourth Proportional to 5,206.15, 7,805.41 and 1,919.30

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Solution

The fourth proportional to 5,206.15, 7,805.41 and 1,919.30 is: 2,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.15 : 7,805.41 = 1,919.30 : x
  2. Step 2: Convert to fraction form
    5,206.15/7,805.41 = 1,919.30/x
  3. Step 3: Cross multiply
    5,206.15x = 7,805.41 × 1,919.30
  4. Step 4: Simplify right side
    5,206.15x = 14,980,923.41
  5. Step 5: Solve for x
    x = 14,980,923.41/5,206.15
  6. Step 6: Final answer
    x = 2,877.54

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