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Finding the Fourth Proportional to 3,811.62, 5,717.66 and 1,471.64

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Solution

The fourth proportional to 3,811.62, 5,717.66 and 1,471.64 is: 2,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.62 : 5,717.66 = 1,471.64 : x
  2. Step 2: Convert to fraction form
    3,811.62/5,717.66 = 1,471.64/x
  3. Step 3: Cross multiply
    3,811.62x = 5,717.66 × 1,471.64
  4. Step 4: Simplify right side
    3,811.62x = 8,414,337.16
  5. Step 5: Solve for x
    x = 8,414,337.16/3,811.62
  6. Step 6: Final answer
    x = 2,207.55

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Why These Related Problems?

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