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Finding the Fourth Proportional to 3,696.68, 5,549.70 and 3,179.96

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Solution

The fourth proportional to 3,696.68, 5,549.70 and 3,179.96 is: 4,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.68 : 5,549.70 = 3,179.96 : x
  2. Step 2: Convert to fraction form
    3,696.68/5,549.70 = 3,179.96/x
  3. Step 3: Cross multiply
    3,696.68x = 5,549.70 × 3,179.96
  4. Step 4: Simplify right side
    3,696.68x = 17,647,824.01
  5. Step 5: Solve for x
    x = 17,647,824.01/3,696.68
  6. Step 6: Final answer
    x = 4,773.97

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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.