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Finding the Fourth Proportional to 3,694.95, 5,099.76 and 2,202.12

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Solution

The fourth proportional to 3,694.95, 5,099.76 and 2,202.12 is: 3,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.95 : 5,099.76 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    3,694.95/5,099.76 = 2,202.12/x
  3. Step 3: Cross multiply
    3,694.95x = 5,099.76 × 2,202.12
  4. Step 4: Simplify right side
    3,694.95x = 11,230,283.49
  5. Step 5: Solve for x
    x = 11,230,283.49/3,694.95
  6. Step 6: Final answer
    x = 3,039.36

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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.