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Finding the Fourth Proportional to 5,730.78, 7,909.11 and 3,213.30

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Solution

The fourth proportional to 5,730.78, 7,909.11 and 3,213.30 is: 4,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.78 : 7,909.11 = 3,213.30 : x
  2. Step 2: Convert to fraction form
    5,730.78/7,909.11 = 3,213.30/x
  3. Step 3: Cross multiply
    5,730.78x = 7,909.11 × 3,213.30
  4. Step 4: Simplify right side
    5,730.78x = 25,414,343.16
  5. Step 5: Solve for x
    x = 25,414,343.16/5,730.78
  6. Step 6: Final answer
    x = 4,434.71

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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.