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Finding the Fourth Proportional to 3,814.32, 5,711.70 and 3,196.50

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Solution

The fourth proportional to 3,814.32, 5,711.70 and 3,196.50 is: 4,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.32 : 5,711.70 = 3,196.50 : x
  2. Step 2: Convert to fraction form
    3,814.32/5,711.70 = 3,196.50/x
  3. Step 3: Cross multiply
    3,814.32x = 5,711.70 × 3,196.50
  4. Step 4: Simplify right side
    3,814.32x = 18,257,449.05
  5. Step 5: Solve for x
    x = 18,257,449.05/3,814.32
  6. Step 6: Final answer
    x = 4,786.55

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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.