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Finding the Fourth Proportional to 3,740.70, 5,609.08 and 1,659.80

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Solution

The fourth proportional to 3,740.70, 5,609.08 and 1,659.80 is: 2,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.70 : 5,609.08 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    3,740.70/5,609.08 = 1,659.80/x
  3. Step 3: Cross multiply
    3,740.70x = 5,609.08 × 1,659.80
  4. Step 4: Simplify right side
    3,740.70x = 9,309,942.69
  5. Step 5: Solve for x
    x = 9,309,942.69/3,740.70
  6. Step 6: Final answer
    x = 2,488.82

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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.