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Finding the Fourth Proportional to 3,846.15, 5,766.89 and 1,505.72

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Solution

The fourth proportional to 3,846.15, 5,766.89 and 1,505.72 is: 2,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.15 : 5,766.89 = 1,505.72 : x
  2. Step 2: Convert to fraction form
    3,846.15/5,766.89 = 1,505.72/x
  3. Step 3: Cross multiply
    3,846.15x = 5,766.89 × 1,505.72
  4. Step 4: Simplify right side
    3,846.15x = 8,683,285.25
  5. Step 5: Solve for x
    x = 8,683,285.25/3,846.15
  6. Step 6: Final answer
    x = 2,257.66

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