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Finding the Fourth Proportional to 3,659.14, 5,033.66 and 3,208.99

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Solution

The fourth proportional to 3,659.14, 5,033.66 and 3,208.99 is: 4,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.14 : 5,033.66 = 3,208.99 : x
  2. Step 2: Convert to fraction form
    3,659.14/5,033.66 = 3,208.99/x
  3. Step 3: Cross multiply
    3,659.14x = 5,033.66 × 3,208.99
  4. Step 4: Simplify right side
    3,659.14x = 16,152,939.44
  5. Step 5: Solve for x
    x = 16,152,939.44/3,659.14
  6. Step 6: Final answer
    x = 4,414.41

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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.