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Finding the Fourth Proportional to 4,136.47, 5,708.47 and 3,949.66

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Solution

The fourth proportional to 4,136.47, 5,708.47 and 3,949.66 is: 5,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.47 : 5,708.47 = 3,949.66 : x
  2. Step 2: Convert to fraction form
    4,136.47/5,708.47 = 3,949.66/x
  3. Step 3: Cross multiply
    4,136.47x = 5,708.47 × 3,949.66
  4. Step 4: Simplify right side
    4,136.47x = 22,546,515.62
  5. Step 5: Solve for x
    x = 22,546,515.62/4,136.47
  6. Step 6: Final answer
    x = 5,450.67

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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.