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Finding the Fourth Proportional to 5,393.97, 8,092.56 and 1,696.71

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Solution

The fourth proportional to 5,393.97, 8,092.56 and 1,696.71 is: 2,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.97 : 8,092.56 = 1,696.71 : x
  2. Step 2: Convert to fraction form
    5,393.97/8,092.56 = 1,696.71/x
  3. Step 3: Cross multiply
    5,393.97x = 8,092.56 × 1,696.71
  4. Step 4: Simplify right side
    5,393.97x = 13,730,727.48
  5. Step 5: Solve for x
    x = 13,730,727.48/5,393.97
  6. Step 6: Final answer
    x = 2,545.57

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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.