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Finding the Fourth Proportional to 5,296.69, 7,309.04 and 2,906.63

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Solution

The fourth proportional to 5,296.69, 7,309.04 and 2,906.63 is: 4,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.69 : 7,309.04 = 2,906.63 : x
  2. Step 2: Convert to fraction form
    5,296.69/7,309.04 = 2,906.63/x
  3. Step 3: Cross multiply
    5,296.69x = 7,309.04 × 2,906.63
  4. Step 4: Simplify right side
    5,296.69x = 21,244,692.38
  5. Step 5: Solve for x
    x = 21,244,692.38/5,296.69
  6. Step 6: Final answer
    x = 4,010.94

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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.