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Finding the Fourth Proportional to 3,772.96, 5,206.96 and 2,201.12

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Solution

The fourth proportional to 3,772.96, 5,206.96 and 2,201.12 is: 3,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.96 : 5,206.96 = 2,201.12 : x
  2. Step 2: Convert to fraction form
    3,772.96/5,206.96 = 2,201.12/x
  3. Step 3: Cross multiply
    3,772.96x = 5,206.96 × 2,201.12
  4. Step 4: Simplify right side
    3,772.96x = 11,461,143.80
  5. Step 5: Solve for x
    x = 11,461,143.80/3,772.96
  6. Step 6: Final answer
    x = 3,037.71

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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.