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Finding the Fourth Proportional to 5,296.69, 7,308.97 and 2,906.28

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Solution

The fourth proportional to 5,296.69, 7,308.97 and 2,906.28 is: 4,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.69 : 7,308.97 = 2,906.28 : x
  2. Step 2: Convert to fraction form
    5,296.69/7,308.97 = 2,906.28/x
  3. Step 3: Cross multiply
    5,296.69x = 7,308.97 × 2,906.28
  4. Step 4: Simplify right side
    5,296.69x = 21,241,862.26
  5. Step 5: Solve for x
    x = 21,241,862.26/5,296.69
  6. Step 6: Final answer
    x = 4,010.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.