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Finding the Fourth Proportional to 5,213.53, 7,194.61 and 2,975.28

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Solution

The fourth proportional to 5,213.53, 7,194.61 and 2,975.28 is: 4,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.53 : 7,194.61 = 2,975.28 : x
  2. Step 2: Convert to fraction form
    5,213.53/7,194.61 = 2,975.28/x
  3. Step 3: Cross multiply
    5,213.53x = 7,194.61 × 2,975.28
  4. Step 4: Simplify right side
    5,213.53x = 21,405,979.24
  5. Step 5: Solve for x
    x = 21,405,979.24/5,213.53
  6. Step 6: Final answer
    x = 4,105.85

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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.