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Finding the Fourth Proportional to 3,662, 5,493.69 and 1,470.90

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Solution

The fourth proportional to 3,662, 5,493.69 and 1,470.90 is: 2,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 5,493.69 = 1,470.90 : x
  2. Step 2: Convert to fraction form
    3,662/5,493.69 = 1,470.90/x
  3. Step 3: Cross multiply
    3,662x = 5,493.69 × 1,470.90
  4. Step 4: Simplify right side
    3,662x = 8,080,668.62
  5. Step 5: Solve for x
    x = 8,080,668.62/3,662
  6. Step 6: Final answer
    x = 2,206.63

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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.