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Finding the Fourth Proportional to 5,644.74, 8,471.43 and 2,523.54

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Solution

The fourth proportional to 5,644.74, 8,471.43 and 2,523.54 is: 3,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.74 : 8,471.43 = 2,523.54 : x
  2. Step 2: Convert to fraction form
    5,644.74/8,471.43 = 2,523.54/x
  3. Step 3: Cross multiply
    5,644.74x = 8,471.43 × 2,523.54
  4. Step 4: Simplify right side
    5,644.74x = 21,377,992.46
  5. Step 5: Solve for x
    x = 21,377,992.46/5,644.74
  6. Step 6: Final answer
    x = 3,787.24

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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.