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Finding the Fourth Proportional to 3,965.42, 5,472.21 and 2,286.83

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Solution

The fourth proportional to 3,965.42, 5,472.21 and 2,286.83 is: 3,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.42 : 5,472.21 = 2,286.83 : x
  2. Step 2: Convert to fraction form
    3,965.42/5,472.21 = 2,286.83/x
  3. Step 3: Cross multiply
    3,965.42x = 5,472.21 × 2,286.83
  4. Step 4: Simplify right side
    3,965.42x = 12,513,986.63
  5. Step 5: Solve for x
    x = 12,513,986.63/3,965.42
  6. Step 6: Final answer
    x = 3,155.78

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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.