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Finding the Fourth Proportional to 3,740.69, 5,609.12 and 2,096.79

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Solution

The fourth proportional to 3,740.69, 5,609.12 and 2,096.79 is: 3,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.69 : 5,609.12 = 2,096.79 : x
  2. Step 2: Convert to fraction form
    3,740.69/5,609.12 = 2,096.79/x
  3. Step 3: Cross multiply
    3,740.69x = 5,609.12 × 2,096.79
  4. Step 4: Simplify right side
    3,740.69x = 11,761,136.24
  5. Step 5: Solve for x
    x = 11,761,136.24/3,740.69
  6. Step 6: Final answer
    x = 3,144.11

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1.5x scale

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.