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Finding the Fourth Proportional to 5,097.97, 7,649.81 and 2,757.93

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Solution

The fourth proportional to 5,097.97, 7,649.81 and 2,757.93 is: 4,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.97 : 7,649.81 = 2,757.93 : x
  2. Step 2: Convert to fraction form
    5,097.97/7,649.81 = 2,757.93/x
  3. Step 3: Cross multiply
    5,097.97x = 7,649.81 × 2,757.93
  4. Step 4: Simplify right side
    5,097.97x = 21,097,640.49
  5. Step 5: Solve for x
    x = 21,097,640.49/5,097.97
  6. Step 6: Final answer
    x = 4,138.44

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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.