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Finding the Fourth Proportional to 5,197.95, 7,800.90 and 3,814.86

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Solution

The fourth proportional to 5,197.95, 7,800.90 and 3,814.86 is: 5,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.95 : 7,800.90 = 3,814.86 : x
  2. Step 2: Convert to fraction form
    5,197.95/7,800.90 = 3,814.86/x
  3. Step 3: Cross multiply
    5,197.95x = 7,800.90 × 3,814.86
  4. Step 4: Simplify right side
    5,197.95x = 29,759,341.37
  5. Step 5: Solve for x
    x = 29,759,341.37/5,197.95
  6. Step 6: Final answer
    x = 5,725.21

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