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Finding the Fourth Proportional to 3,697.35, 5,098.42 and 3,221.16

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Solution

The fourth proportional to 3,697.35, 5,098.42 and 3,221.16 is: 4,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.35 : 5,098.42 = 3,221.16 : x
  2. Step 2: Convert to fraction form
    3,697.35/5,098.42 = 3,221.16/x
  3. Step 3: Cross multiply
    3,697.35x = 5,098.42 × 3,221.16
  4. Step 4: Simplify right side
    3,697.35x = 16,422,826.57
  5. Step 5: Solve for x
    x = 16,422,826.57/3,697.35
  6. Step 6: Final answer
    x = 4,441.78

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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.