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Finding the Fourth Proportional to 4,136.70, 6,206.15 and 1,795.70

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Solution

The fourth proportional to 4,136.70, 6,206.15 and 1,795.70 is: 2,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.70 : 6,206.15 = 1,795.70 : x
  2. Step 2: Convert to fraction form
    4,136.70/6,206.15 = 1,795.70/x
  3. Step 3: Cross multiply
    4,136.70x = 6,206.15 × 1,795.70
  4. Step 4: Simplify right side
    4,136.70x = 11,144,383.56
  5. Step 5: Solve for x
    x = 11,144,383.56/4,136.70
  6. Step 6: Final answer
    x = 2,694.03

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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.