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Finding the Fourth Proportional to 3,694.65, 5,099.13 and 2,122.71

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Solution

The fourth proportional to 3,694.65, 5,099.13 and 2,122.71 is: 2,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.65 : 5,099.13 = 2,122.71 : x
  2. Step 2: Convert to fraction form
    3,694.65/5,099.13 = 2,122.71/x
  3. Step 3: Cross multiply
    3,694.65x = 5,099.13 × 2,122.71
  4. Step 4: Simplify right side
    3,694.65x = 10,823,974.24
  5. Step 5: Solve for x
    x = 10,823,974.24/3,694.65
  6. Step 6: Final answer
    x = 2,929.63

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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.