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Finding the Fourth Proportional to 5,481.50, 7,564.65 and 2,997.50

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Solution

The fourth proportional to 5,481.50, 7,564.65 and 2,997.50 is: 4,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.50 : 7,564.65 = 2,997.50 : x
  2. Step 2: Convert to fraction form
    5,481.50/7,564.65 = 2,997.50/x
  3. Step 3: Cross multiply
    5,481.50x = 7,564.65 × 2,997.50
  4. Step 4: Simplify right side
    5,481.50x = 22,675,038.38
  5. Step 5: Solve for x
    x = 22,675,038.38/5,481.50
  6. Step 6: Final answer
    x = 4,136.65

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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.