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Finding the Fourth Proportional to 3,608.26, 5,416.04 and 2,569.43

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Solution

The fourth proportional to 3,608.26, 5,416.04 and 2,569.43 is: 3,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.26 : 5,416.04 = 2,569.43 : x
  2. Step 2: Convert to fraction form
    3,608.26/5,416.04 = 2,569.43/x
  3. Step 3: Cross multiply
    3,608.26x = 5,416.04 × 2,569.43
  4. Step 4: Simplify right side
    3,608.26x = 13,916,136.35
  5. Step 5: Solve for x
    x = 13,916,136.35/3,608.26
  6. Step 6: Final answer
    x = 3,856.75

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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.