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Finding the Fourth Proportional to 3,469.35, 5,201.10 and 1,619.49

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Solution

The fourth proportional to 3,469.35, 5,201.10 and 1,619.49 is: 2,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.35 : 5,201.10 = 1,619.49 : x
  2. Step 2: Convert to fraction form
    3,469.35/5,201.10 = 1,619.49/x
  3. Step 3: Cross multiply
    3,469.35x = 5,201.10 × 1,619.49
  4. Step 4: Simplify right side
    3,469.35x = 8,423,129.44
  5. Step 5: Solve for x
    x = 8,423,129.44/3,469.35
  6. Step 6: Final answer
    x = 2,427.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.