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Finding the Fourth Proportional to 3,668.94, 5,489.62 and 2,182.69

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Solution

The fourth proportional to 3,668.94, 5,489.62 and 2,182.69 is: 3,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.94 : 5,489.62 = 2,182.69 : x
  2. Step 2: Convert to fraction form
    3,668.94/5,489.62 = 2,182.69/x
  3. Step 3: Cross multiply
    3,668.94x = 5,489.62 × 2,182.69
  4. Step 4: Simplify right side
    3,668.94x = 11,982,119.50
  5. Step 5: Solve for x
    x = 11,982,119.50/3,668.94
  6. Step 6: Final answer
    x = 3,265.83

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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.