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Finding the Fourth Proportional to 5,231.98, 7,842.50 and 2,309.91

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Solution

The fourth proportional to 5,231.98, 7,842.50 and 2,309.91 is: 3,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.98 : 7,842.50 = 2,309.91 : x
  2. Step 2: Convert to fraction form
    5,231.98/7,842.50 = 2,309.91/x
  3. Step 3: Cross multiply
    5,231.98x = 7,842.50 × 2,309.91
  4. Step 4: Simplify right side
    5,231.98x = 18,115,469.18
  5. Step 5: Solve for x
    x = 18,115,469.18/5,231.98
  6. Step 6: Final answer
    x = 3,462.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.