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Finding the Fourth Proportional to 5,188.77, 7,778.52 and 1,899.63

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Solution

The fourth proportional to 5,188.77, 7,778.52 and 1,899.63 is: 2,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.77 : 7,778.52 = 1,899.63 : x
  2. Step 2: Convert to fraction form
    5,188.77/7,778.52 = 1,899.63/x
  3. Step 3: Cross multiply
    5,188.77x = 7,778.52 × 1,899.63
  4. Step 4: Simplify right side
    5,188.77x = 14,776,309.95
  5. Step 5: Solve for x
    x = 14,776,309.95/5,188.77
  6. Step 6: Final answer
    x = 2,847.75

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