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Finding the Fourth Proportional to 5,286.97, 7,329.41 and 5,006.09

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Solution

The fourth proportional to 5,286.97, 7,329.41 and 5,006.09 is: 6,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.97 : 7,329.41 = 5,006.09 : x
  2. Step 2: Convert to fraction form
    5,286.97/7,329.41 = 5,006.09/x
  3. Step 3: Cross multiply
    5,286.97x = 7,329.41 × 5,006.09
  4. Step 4: Simplify right side
    5,286.97x = 36,691,671.02
  5. Step 5: Solve for x
    x = 36,691,671.02/5,286.97
  6. Step 6: Final answer
    x = 6,940.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.