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Finding the Fourth Proportional to 5,857.41, 8,082.89 and 3,204.77

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Solution

The fourth proportional to 5,857.41, 8,082.89 and 3,204.77 is: 4,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.41 : 8,082.89 = 3,204.77 : x
  2. Step 2: Convert to fraction form
    5,857.41/8,082.89 = 3,204.77/x
  3. Step 3: Cross multiply
    5,857.41x = 8,082.89 × 3,204.77
  4. Step 4: Simplify right side
    5,857.41x = 25,903,758.96
  5. Step 5: Solve for x
    x = 25,903,758.96/5,857.41
  6. Step 6: Final answer
    x = 4,422.39

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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.