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Finding the Fourth Proportional to 3,801.30, 5,687.37 and 2,831.73

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Solution

The fourth proportional to 3,801.30, 5,687.37 and 2,831.73 is: 4,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.30 : 5,687.37 = 2,831.73 : x
  2. Step 2: Convert to fraction form
    3,801.30/5,687.37 = 2,831.73/x
  3. Step 3: Cross multiply
    3,801.30x = 5,687.37 × 2,831.73
  4. Step 4: Simplify right side
    3,801.30x = 16,105,096.25
  5. Step 5: Solve for x
    x = 16,105,096.25/3,801.30
  6. Step 6: Final answer
    x = 4,236.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.