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Finding the Fourth Proportional to 3,848.70, 5,764.95 and 3,200.70

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Solution

The fourth proportional to 3,848.70, 5,764.95 and 3,200.70 is: 4,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.70 : 5,764.95 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    3,848.70/5,764.95 = 3,200.70/x
  3. Step 3: Cross multiply
    3,848.70x = 5,764.95 × 3,200.70
  4. Step 4: Simplify right side
    3,848.70x = 18,451,875.47
  5. Step 5: Solve for x
    x = 18,451,875.47/3,848.70
  6. Step 6: Final answer
    x = 4,794.31

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