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Finding the Fourth Proportional to 5,428.14, 8,136.03 and 3,232.23

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Solution

The fourth proportional to 5,428.14, 8,136.03 and 3,232.23 is: 4,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.14 : 8,136.03 = 3,232.23 : x
  2. Step 2: Convert to fraction form
    5,428.14/8,136.03 = 3,232.23/x
  3. Step 3: Cross multiply
    5,428.14x = 8,136.03 × 3,232.23
  4. Step 4: Simplify right side
    5,428.14x = 26,297,520.25
  5. Step 5: Solve for x
    x = 26,297,520.25/5,428.14
  6. Step 6: Final answer
    x = 4,844.67

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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.