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Finding the Fourth Proportional to 5,706.90, 7,872.26 and 3,581.60

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Solution

The fourth proportional to 5,706.90, 7,872.26 and 3,581.60 is: 4,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.90 : 7,872.26 = 3,581.60 : x
  2. Step 2: Convert to fraction form
    5,706.90/7,872.26 = 3,581.60/x
  3. Step 3: Cross multiply
    5,706.90x = 7,872.26 × 3,581.60
  4. Step 4: Simplify right side
    5,706.90x = 28,195,229.15
  5. Step 5: Solve for x
    x = 28,195,229.15/5,706.90
  6. Step 6: Final answer
    x = 4,940.55

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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.