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Finding the Fourth Proportional to 5,866.69, 8,092.96 and 3,627.85

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Solution

The fourth proportional to 5,866.69, 8,092.96 and 3,627.85 is: 5,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.69 : 8,092.96 = 3,627.85 : x
  2. Step 2: Convert to fraction form
    5,866.69/8,092.96 = 3,627.85/x
  3. Step 3: Cross multiply
    5,866.69x = 8,092.96 × 3,627.85
  4. Step 4: Simplify right side
    5,866.69x = 29,360,044.94
  5. Step 5: Solve for x
    x = 29,360,044.94/5,866.69
  6. Step 6: Final answer
    x = 5,004.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.