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Finding the Fourth Proportional to 5,857.38, 8,083.13 and 3,204.63

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Solution

The fourth proportional to 5,857.38, 8,083.13 and 3,204.63 is: 4,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.38 : 8,083.13 = 3,204.63 : x
  2. Step 2: Convert to fraction form
    5,857.38/8,083.13 = 3,204.63/x
  3. Step 3: Cross multiply
    5,857.38x = 8,083.13 × 3,204.63
  4. Step 4: Simplify right side
    5,857.38x = 25,903,424.87
  5. Step 5: Solve for x
    x = 25,903,424.87/5,857.38
  6. Step 6: Final answer
    x = 4,422.36

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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.