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Finding the Fourth Proportional to 5,797.31, 8,709.84 and 3,721.37

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Solution

The fourth proportional to 5,797.31, 8,709.84 and 3,721.37 is: 5,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.31 : 8,709.84 = 3,721.37 : x
  2. Step 2: Convert to fraction form
    5,797.31/8,709.84 = 3,721.37/x
  3. Step 3: Cross multiply
    5,797.31x = 8,709.84 × 3,721.37
  4. Step 4: Simplify right side
    5,797.31x = 32,412,493.73
  5. Step 5: Solve for x
    x = 32,412,493.73/5,797.31
  6. Step 6: Final answer
    x = 5,590.96

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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.