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Finding the Fourth Proportional to 3,694.74, 5,098.16 and 2,202.12

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Solution

The fourth proportional to 3,694.74, 5,098.16 and 2,202.12 is: 3,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.74 : 5,098.16 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    3,694.74/5,098.16 = 2,202.12/x
  3. Step 3: Cross multiply
    3,694.74x = 5,098.16 × 2,202.12
  4. Step 4: Simplify right side
    3,694.74x = 11,226,760.10
  5. Step 5: Solve for x
    x = 11,226,760.10/3,694.74
  6. Step 6: Final answer
    x = 3,038.58

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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.