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Finding the Fourth Proportional to 3,105.57, 4,286.21 and 2,775.81

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Solution

The fourth proportional to 3,105.57, 4,286.21 and 2,775.81 is: 3,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.57 : 4,286.21 = 2,775.81 : x
  2. Step 2: Convert to fraction form
    3,105.57/4,286.21 = 2,775.81/x
  3. Step 3: Cross multiply
    3,105.57x = 4,286.21 × 2,775.81
  4. Step 4: Simplify right side
    3,105.57x = 11,897,690.70
  5. Step 5: Solve for x
    x = 11,897,690.70/3,105.57
  6. Step 6: Final answer
    x = 3,831.08

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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.