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Finding the Fourth Proportional to 3,694.89, 5,098.95 and 2,122.98

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Solution

The fourth proportional to 3,694.89, 5,098.95 and 2,122.98 is: 2,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.89 : 5,098.95 = 2,122.98 : x
  2. Step 2: Convert to fraction form
    3,694.89/5,098.95 = 2,122.98/x
  3. Step 3: Cross multiply
    3,694.89x = 5,098.95 × 2,122.98
  4. Step 4: Simplify right side
    3,694.89x = 10,824,968.87
  5. Step 5: Solve for x
    x = 10,824,968.87/3,694.89
  6. Step 6: Final answer
    x = 2,929.71

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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.