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Finding the Fourth Proportional to 3,830.46, 5,712.80 and 3,764.85

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Solution

The fourth proportional to 3,830.46, 5,712.80 and 3,764.85 is: 5,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.46 : 5,712.80 = 3,764.85 : x
  2. Step 2: Convert to fraction form
    3,830.46/5,712.80 = 3,764.85/x
  3. Step 3: Cross multiply
    3,830.46x = 5,712.80 × 3,764.85
  4. Step 4: Simplify right side
    3,830.46x = 21,507,816.26
  5. Step 5: Solve for x
    x = 21,507,816.26/3,830.46
  6. Step 6: Final answer
    x = 5,614.94

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