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Finding the Fourth Proportional to 5,136, 7,709.55 and 2,544.42

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Solution

The fourth proportional to 5,136, 7,709.55 and 2,544.42 is: 3,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136 : 7,709.55 = 2,544.42 : x
  2. Step 2: Convert to fraction form
    5,136/7,709.55 = 2,544.42/x
  3. Step 3: Cross multiply
    5,136x = 7,709.55 × 2,544.42
  4. Step 4: Simplify right side
    5,136x = 19,616,333.21
  5. Step 5: Solve for x
    x = 19,616,333.21/5,136
  6. Step 6: Final answer
    x = 3,819.38

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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.