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Finding the Fourth Proportional to 3,831.78, 5,286.12 and 2,414.48

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Solution

The fourth proportional to 3,831.78, 5,286.12 and 2,414.48 is: 3,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.78 : 5,286.12 = 2,414.48 : x
  2. Step 2: Convert to fraction form
    3,831.78/5,286.12 = 2,414.48/x
  3. Step 3: Cross multiply
    3,831.78x = 5,286.12 × 2,414.48
  4. Step 4: Simplify right side
    3,831.78x = 12,763,231.02
  5. Step 5: Solve for x
    x = 12,763,231.02/3,831.78
  6. Step 6: Final answer
    x = 3,330.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.