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Finding the Fourth Proportional to 5,696.73, 8,545.10 and 2,774.25

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Solution

The fourth proportional to 5,696.73, 8,545.10 and 2,774.25 is: 4,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.73 : 8,545.10 = 2,774.25 : x
  2. Step 2: Convert to fraction form
    5,696.73/8,545.10 = 2,774.25/x
  3. Step 3: Cross multiply
    5,696.73x = 8,545.10 × 2,774.25
  4. Step 4: Simplify right side
    5,696.73x = 23,706,229.80
  5. Step 5: Solve for x
    x = 23,706,229.80/5,696.73
  6. Step 6: Final answer
    x = 4,161.38

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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.