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Finding the Fourth Proportional to 5,849.25, 8,732.17 and 5,644.18

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Solution

The fourth proportional to 5,849.25, 8,732.17 and 5,644.18 is: 8,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.25 : 8,732.17 = 5,644.18 : x
  2. Step 2: Convert to fraction form
    5,849.25/8,732.17 = 5,644.18/x
  3. Step 3: Cross multiply
    5,849.25x = 8,732.17 × 5,644.18
  4. Step 4: Simplify right side
    5,849.25x = 49,285,939.27
  5. Step 5: Solve for x
    x = 49,285,939.27/5,849.25
  6. Step 6: Final answer
    x = 8,426.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.