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Finding the Fourth Proportional to 5,213.28, 7,194.33 and 2,975.21

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Solution

The fourth proportional to 5,213.28, 7,194.33 and 2,975.21 is: 4,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.28 : 7,194.33 = 2,975.21 : x
  2. Step 2: Convert to fraction form
    5,213.28/7,194.33 = 2,975.21/x
  3. Step 3: Cross multiply
    5,213.28x = 7,194.33 × 2,975.21
  4. Step 4: Simplify right side
    5,213.28x = 21,404,591.71
  5. Step 5: Solve for x
    x = 21,404,591.71/5,213.28
  6. Step 6: Final answer
    x = 4,105.78

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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.