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Finding the Fourth Proportional to 3,496.44, 5,244.66 and 1,443

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Solution

The fourth proportional to 3,496.44, 5,244.66 and 1,443 is: 2,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.44 : 5,244.66 = 1,443 : x
  2. Step 2: Convert to fraction form
    3,496.44/5,244.66 = 1,443/x
  3. Step 3: Cross multiply
    3,496.44x = 5,244.66 × 1,443
  4. Step 4: Simplify right side
    3,496.44x = 7,568,044.38
  5. Step 5: Solve for x
    x = 7,568,044.38/3,496.44
  6. Step 6: Final answer
    x = 2,164.50

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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.