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Finding the Fourth Proportional to 3,694.75, 5,098.71 and 2,122.72

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Solution

The fourth proportional to 3,694.75, 5,098.71 and 2,122.72 is: 2,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.75 : 5,098.71 = 2,122.72 : x
  2. Step 2: Convert to fraction form
    3,694.75/5,098.71 = 2,122.72/x
  3. Step 3: Cross multiply
    3,694.75x = 5,098.71 × 2,122.72
  4. Step 4: Simplify right side
    3,694.75x = 10,823,133.69
  5. Step 5: Solve for x
    x = 10,823,133.69/3,694.75
  6. Step 6: Final answer
    x = 2,929.33

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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.