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Finding the Fourth Proportional to 5,136.35, 7,709.84 and 3,163.40

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Solution

The fourth proportional to 5,136.35, 7,709.84 and 3,163.40 is: 4,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.35 : 7,709.84 = 3,163.40 : x
  2. Step 2: Convert to fraction form
    5,136.35/7,709.84 = 3,163.40/x
  3. Step 3: Cross multiply
    5,136.35x = 7,709.84 × 3,163.40
  4. Step 4: Simplify right side
    5,136.35x = 24,389,253.49
  5. Step 5: Solve for x
    x = 24,389,253.49/5,136.35
  6. Step 6: Final answer
    x = 4,748.37

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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.