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Finding the Fourth Proportional to 5,975.75, 8,965.49 and 4,663.98

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Solution

The fourth proportional to 5,975.75, 8,965.49 and 4,663.98 is: 6,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.75 : 8,965.49 = 4,663.98 : x
  2. Step 2: Convert to fraction form
    5,975.75/8,965.49 = 4,663.98/x
  3. Step 3: Cross multiply
    5,975.75x = 8,965.49 × 4,663.98
  4. Step 4: Simplify right side
    5,975.75x = 41,814,842.73
  5. Step 5: Solve for x
    x = 41,814,842.73/5,975.75
  6. Step 6: Final answer
    x = 6,997.43

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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.