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Finding the Fourth Proportional to 5,188.10, 7,775.88 and 1,899.42

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Solution

The fourth proportional to 5,188.10, 7,775.88 and 1,899.42 is: 2,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.10 : 7,775.88 = 1,899.42 : x
  2. Step 2: Convert to fraction form
    5,188.10/7,775.88 = 1,899.42/x
  3. Step 3: Cross multiply
    5,188.10x = 7,775.88 × 1,899.42
  4. Step 4: Simplify right side
    5,188.10x = 14,769,661.99
  5. Step 5: Solve for x
    x = 14,769,661.99/5,188.10
  6. Step 6: Final answer
    x = 2,846.83

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