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Finding the Fourth Proportional to 5,481.75, 8,222.71 and 1,586.17

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Solution

The fourth proportional to 5,481.75, 8,222.71 and 1,586.17 is: 2,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.75 : 8,222.71 = 1,586.17 : x
  2. Step 2: Convert to fraction form
    5,481.75/8,222.71 = 1,586.17/x
  3. Step 3: Cross multiply
    5,481.75x = 8,222.71 × 1,586.17
  4. Step 4: Simplify right side
    5,481.75x = 13,042,615.92
  5. Step 5: Solve for x
    x = 13,042,615.92/5,481.75
  6. Step 6: Final answer
    x = 2,379.28

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