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Finding the Fourth Proportional to 5,747.70, 8,616.07 and 1,849.38

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Solution

The fourth proportional to 5,747.70, 8,616.07 and 1,849.38 is: 2,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.70 : 8,616.07 = 1,849.38 : x
  2. Step 2: Convert to fraction form
    5,747.70/8,616.07 = 1,849.38/x
  3. Step 3: Cross multiply
    5,747.70x = 8,616.07 × 1,849.38
  4. Step 4: Simplify right side
    5,747.70x = 15,934,387.54
  5. Step 5: Solve for x
    x = 15,934,387.54/5,747.70
  6. Step 6: Final answer
    x = 2,772.31

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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.