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Finding the Fourth Proportional to 5,863, 8,090.96 and 3,379

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Solution

The fourth proportional to 5,863, 8,090.96 and 3,379 is: 4,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863 : 8,090.96 = 3,379 : x
  2. Step 2: Convert to fraction form
    5,863/8,090.96 = 3,379/x
  3. Step 3: Cross multiply
    5,863x = 8,090.96 × 3,379
  4. Step 4: Simplify right side
    5,863x = 27,339,353.84
  5. Step 5: Solve for x
    x = 27,339,353.84/5,863
  6. Step 6: Final answer
    x = 4,663.03

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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.