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Finding the Fourth Proportional to 3,477, 5,213.88 and 1,136.64

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Solution

The fourth proportional to 3,477, 5,213.88 and 1,136.64 is: 1,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 5,213.88 = 1,136.64 : x
  2. Step 2: Convert to fraction form
    3,477/5,213.88 = 1,136.64/x
  3. Step 3: Cross multiply
    3,477x = 5,213.88 × 1,136.64
  4. Step 4: Simplify right side
    3,477x = 5,926,304.56
  5. Step 5: Solve for x
    x = 5,926,304.56/3,477
  6. Step 6: Final answer
    x = 1,704.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.