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Finding the Fourth Proportional to 4,136.96, 5,704.80 and 2,564.48

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Solution

The fourth proportional to 4,136.96, 5,704.80 and 2,564.48 is: 3,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.96 : 5,704.80 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    4,136.96/5,704.80 = 2,564.48/x
  3. Step 3: Cross multiply
    4,136.96x = 5,704.80 × 2,564.48
  4. Step 4: Simplify right side
    4,136.96x = 14,629,845.50
  5. Step 5: Solve for x
    x = 14,629,845.50/4,136.96
  6. Step 6: Final answer
    x = 3,536.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.