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Finding the Fourth Proportional to 3,696.56, 5,545.08 and 1,099.28

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Solution

The fourth proportional to 3,696.56, 5,545.08 and 1,099.28 is: 1,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.56 : 5,545.08 = 1,099.28 : x
  2. Step 2: Convert to fraction form
    3,696.56/5,545.08 = 1,099.28/x
  3. Step 3: Cross multiply
    3,696.56x = 5,545.08 × 1,099.28
  4. Step 4: Simplify right side
    3,696.56x = 6,095,595.54
  5. Step 5: Solve for x
    x = 6,095,595.54/3,696.56
  6. Step 6: Final answer
    x = 1,648.99

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Why These Related Problems?

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