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Finding the Fourth Proportional to 5,206.66, 7,807.59 and 1,919.62

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Solution

The fourth proportional to 5,206.66, 7,807.59 and 1,919.62 is: 2,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.66 : 7,807.59 = 1,919.62 : x
  2. Step 2: Convert to fraction form
    5,206.66/7,807.59 = 1,919.62/x
  3. Step 3: Cross multiply
    5,206.66x = 7,807.59 × 1,919.62
  4. Step 4: Simplify right side
    5,206.66x = 14,987,605.92
  5. Step 5: Solve for x
    x = 14,987,605.92/5,206.66
  6. Step 6: Final answer
    x = 2,878.55

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