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Finding the Fourth Proportional to 5,207.92, 7,187.07 and 3,113.26

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Solution

The fourth proportional to 5,207.92, 7,187.07 and 3,113.26 is: 4,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.92 : 7,187.07 = 3,113.26 : x
  2. Step 2: Convert to fraction form
    5,207.92/7,187.07 = 3,113.26/x
  3. Step 3: Cross multiply
    5,207.92x = 7,187.07 × 3,113.26
  4. Step 4: Simplify right side
    5,207.92x = 22,375,217.55
  5. Step 5: Solve for x
    x = 22,375,217.55/5,207.92
  6. Step 6: Final answer
    x = 4,296.38

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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.