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Finding the Fourth Proportional to 3,963.96, 5,471.49 and 2,286.48

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Solution

The fourth proportional to 3,963.96, 5,471.49 and 2,286.48 is: 3,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.96 : 5,471.49 = 2,286.48 : x
  2. Step 2: Convert to fraction form
    3,963.96/5,471.49 = 2,286.48/x
  3. Step 3: Cross multiply
    3,963.96x = 5,471.49 × 2,286.48
  4. Step 4: Simplify right side
    3,963.96x = 12,510,452.46
  5. Step 5: Solve for x
    x = 12,510,452.46/3,963.96
  6. Step 6: Final answer
    x = 3,156.05

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1.5x scale

Why These Related Problems?

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