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Finding the Fourth Proportional to 5,296.60, 7,309.44 and 2,906.68

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Solution

The fourth proportional to 5,296.60, 7,309.44 and 2,906.68 is: 4,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.60 : 7,309.44 = 2,906.68 : x
  2. Step 2: Convert to fraction form
    5,296.60/7,309.44 = 2,906.68/x
  3. Step 3: Cross multiply
    5,296.60x = 7,309.44 × 2,906.68
  4. Step 4: Simplify right side
    5,296.60x = 21,246,203.06
  5. Step 5: Solve for x
    x = 21,246,203.06/5,296.60
  6. Step 6: Final answer
    x = 4,011.29

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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.