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Finding the Fourth Proportional to 5,213.72, 7,195.04 and 2,855.72

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Solution

The fourth proportional to 5,213.72, 7,195.04 and 2,855.72 is: 3,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.72 : 7,195.04 = 2,855.72 : x
  2. Step 2: Convert to fraction form
    5,213.72/7,195.04 = 2,855.72/x
  3. Step 3: Cross multiply
    5,213.72x = 7,195.04 × 2,855.72
  4. Step 4: Simplify right side
    5,213.72x = 20,546,969.38
  5. Step 5: Solve for x
    x = 20,546,969.38/5,213.72
  6. Step 6: Final answer
    x = 3,940.94

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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.