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Finding the Fourth Proportional to 3,694.74, 5,098.86 and 2,122.80

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Solution

The fourth proportional to 3,694.74, 5,098.86 and 2,122.80 is: 2,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.74 : 5,098.86 = 2,122.80 : x
  2. Step 2: Convert to fraction form
    3,694.74/5,098.86 = 2,122.80/x
  3. Step 3: Cross multiply
    3,694.74x = 5,098.86 × 2,122.80
  4. Step 4: Simplify right side
    3,694.74x = 10,823,860.01
  5. Step 5: Solve for x
    x = 10,823,860.01/3,694.74
  6. Step 6: Final answer
    x = 2,929.53

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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.