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Finding the Fourth Proportional to 3,694.17, 5,097.96 and 2,122.23

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Solution

The fourth proportional to 3,694.17, 5,097.96 and 2,122.23 is: 2,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.17 : 5,097.96 = 2,122.23 : x
  2. Step 2: Convert to fraction form
    3,694.17/5,097.96 = 2,122.23/x
  3. Step 3: Cross multiply
    3,694.17x = 5,097.96 × 2,122.23
  4. Step 4: Simplify right side
    3,694.17x = 10,819,043.65
  5. Step 5: Solve for x
    x = 10,819,043.65/3,694.17
  6. Step 6: Final answer
    x = 2,928.68

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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.