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Finding the Fourth Proportional to 5,296.78, 7,309.20 and 2,906.38

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Solution

The fourth proportional to 5,296.78, 7,309.20 and 2,906.38 is: 4,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.78 : 7,309.20 = 2,906.38 : x
  2. Step 2: Convert to fraction form
    5,296.78/7,309.20 = 2,906.38/x
  3. Step 3: Cross multiply
    5,296.78x = 7,309.20 × 2,906.38
  4. Step 4: Simplify right side
    5,296.78x = 21,243,312.70
  5. Step 5: Solve for x
    x = 21,243,312.70/5,296.78
  6. Step 6: Final answer
    x = 4,010.61

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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.