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Finding the Fourth Proportional to 5,696.35, 8,545.66 and 1,997.57

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Solution

The fourth proportional to 5,696.35, 8,545.66 and 1,997.57 is: 2,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.35 : 8,545.66 = 1,997.57 : x
  2. Step 2: Convert to fraction form
    5,696.35/8,545.66 = 1,997.57/x
  3. Step 3: Cross multiply
    5,696.35x = 8,545.66 × 1,997.57
  4. Step 4: Simplify right side
    5,696.35x = 17,070,570.42
  5. Step 5: Solve for x
    x = 17,070,570.42/5,696.35
  6. Step 6: Final answer
    x = 2,996.76

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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.