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Finding the Fourth Proportional to 5,842.98, 8,063 and 3,189.88

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Solution

The fourth proportional to 5,842.98, 8,063 and 3,189.88 is: 4,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.98 : 8,063 = 3,189.88 : x
  2. Step 2: Convert to fraction form
    5,842.98/8,063 = 3,189.88/x
  3. Step 3: Cross multiply
    5,842.98x = 8,063 × 3,189.88
  4. Step 4: Simplify right side
    5,842.98x = 25,720,002.44
  5. Step 5: Solve for x
    x = 25,720,002.44/5,842.98
  6. Step 6: Final answer
    x = 4,401.86

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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.