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Finding the Fourth Proportional to 3,694.47, 5,098.16 and 2,122.56

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Solution

The fourth proportional to 3,694.47, 5,098.16 and 2,122.56 is: 2,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.47 : 5,098.16 = 2,122.56 : x
  2. Step 2: Convert to fraction form
    3,694.47/5,098.16 = 2,122.56/x
  3. Step 3: Cross multiply
    3,694.47x = 5,098.16 × 2,122.56
  4. Step 4: Simplify right side
    3,694.47x = 10,821,139.88
  5. Step 5: Solve for x
    x = 10,821,139.88/3,694.47
  6. Step 6: Final answer
    x = 2,929.01

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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.