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Finding the Fourth Proportional to 5,309.64, 7,327.13 and 2,951.73

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Solution

The fourth proportional to 5,309.64, 7,327.13 and 2,951.73 is: 4,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.64 : 7,327.13 = 2,951.73 : x
  2. Step 2: Convert to fraction form
    5,309.64/7,327.13 = 2,951.73/x
  3. Step 3: Cross multiply
    5,309.64x = 7,327.13 × 2,951.73
  4. Step 4: Simplify right side
    5,309.64x = 21,627,694.68
  5. Step 5: Solve for x
    x = 21,627,694.68/5,309.64
  6. Step 6: Final answer
    x = 4,073.29

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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.