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Finding the Fourth Proportional to 3,846.40, 5,769.30 and 1,505.95

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Solution

The fourth proportional to 3,846.40, 5,769.30 and 1,505.95 is: 2,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.40 : 5,769.30 = 1,505.95 : x
  2. Step 2: Convert to fraction form
    3,846.40/5,769.30 = 1,505.95/x
  3. Step 3: Cross multiply
    3,846.40x = 5,769.30 × 1,505.95
  4. Step 4: Simplify right side
    3,846.40x = 8,688,277.34
  5. Step 5: Solve for x
    x = 8,688,277.34/3,846.40
  6. Step 6: Final answer
    x = 2,258.81

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