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Finding the Fourth Proportional to 5,136.60, 7,709.26 and 2,018.78

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Solution

The fourth proportional to 5,136.60, 7,709.26 and 2,018.78 is: 3,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.60 : 7,709.26 = 2,018.78 : x
  2. Step 2: Convert to fraction form
    5,136.60/7,709.26 = 2,018.78/x
  3. Step 3: Cross multiply
    5,136.60x = 7,709.26 × 2,018.78
  4. Step 4: Simplify right side
    5,136.60x = 15,563,299.90
  5. Step 5: Solve for x
    x = 15,563,299.90/5,136.60
  6. Step 6: Final answer
    x = 3,029.89

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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.