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Finding the Fourth Proportional to 5,644.17, 8,463.97 and 1,945.41

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Solution

The fourth proportional to 5,644.17, 8,463.97 and 1,945.41 is: 2,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.17 : 8,463.97 = 1,945.41 : x
  2. Step 2: Convert to fraction form
    5,644.17/8,463.97 = 1,945.41/x
  3. Step 3: Cross multiply
    5,644.17x = 8,463.97 × 1,945.41
  4. Step 4: Simplify right side
    5,644.17x = 16,465,891.88
  5. Step 5: Solve for x
    x = 16,465,891.88/5,644.17
  6. Step 6: Final answer
    x = 2,917.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.