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Finding the Fourth Proportional to 3,696.28, 5,514.03 and 3,431.10

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Solution

The fourth proportional to 3,696.28, 5,514.03 and 3,431.10 is: 5,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.28 : 5,514.03 = 3,431.10 : x
  2. Step 2: Convert to fraction form
    3,696.28/5,514.03 = 3,431.10/x
  3. Step 3: Cross multiply
    3,696.28x = 5,514.03 × 3,431.10
  4. Step 4: Simplify right side
    3,696.28x = 18,919,188.33
  5. Step 5: Solve for x
    x = 18,919,188.33/3,696.28
  6. Step 6: Final answer
    x = 5,118.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.