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Finding the Fourth Proportional to 3,136.36, 4,704.86 and 3,123.56

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Solution

The fourth proportional to 3,136.36, 4,704.86 and 3,123.56 is: 4,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.36 : 4,704.86 = 3,123.56 : x
  2. Step 2: Convert to fraction form
    3,136.36/4,704.86 = 3,123.56/x
  3. Step 3: Cross multiply
    3,136.36x = 4,704.86 × 3,123.56
  4. Step 4: Simplify right side
    3,136.36x = 14,695,912.50
  5. Step 5: Solve for x
    x = 14,695,912.50/3,136.36
  6. Step 6: Final answer
    x = 4,685.66

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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.