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Finding the Fourth Proportional to 5,170.96, 7,136.22 and 3,495.70

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Solution

The fourth proportional to 5,170.96, 7,136.22 and 3,495.70 is: 4,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.96 : 7,136.22 = 3,495.70 : x
  2. Step 2: Convert to fraction form
    5,170.96/7,136.22 = 3,495.70/x
  3. Step 3: Cross multiply
    5,170.96x = 7,136.22 × 3,495.70
  4. Step 4: Simplify right side
    5,170.96x = 24,946,084.25
  5. Step 5: Solve for x
    x = 24,946,084.25/5,170.96
  6. Step 6: Final answer
    x = 4,824.27

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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.