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Finding the Fourth Proportional to 5,982.44, 8,255.64 and 3,329.82

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Solution

The fourth proportional to 5,982.44, 8,255.64 and 3,329.82 is: 4,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.44 : 8,255.64 = 3,329.82 : x
  2. Step 2: Convert to fraction form
    5,982.44/8,255.64 = 3,329.82/x
  3. Step 3: Cross multiply
    5,982.44x = 8,255.64 × 3,329.82
  4. Step 4: Simplify right side
    5,982.44x = 27,489,795.18
  5. Step 5: Solve for x
    x = 27,489,795.18/5,982.44
  6. Step 6: Final answer
    x = 4,595.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.