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Finding the Fourth Proportional to 3,696.38, 5,545.49 and 1,099.31

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Solution

The fourth proportional to 3,696.38, 5,545.49 and 1,099.31 is: 1,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.38 : 5,545.49 = 1,099.31 : x
  2. Step 2: Convert to fraction form
    3,696.38/5,545.49 = 1,099.31/x
  3. Step 3: Cross multiply
    3,696.38x = 5,545.49 × 1,099.31
  4. Step 4: Simplify right side
    3,696.38x = 6,096,212.61
  5. Step 5: Solve for x
    x = 6,096,212.61/3,696.38
  6. Step 6: Final answer
    x = 1,649.24

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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.