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Finding the Fourth Proportional to 3,491.53, 5,231.14 and 1,844.44

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Solution

The fourth proportional to 3,491.53, 5,231.14 and 1,844.44 is: 2,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.53 : 5,231.14 = 1,844.44 : x
  2. Step 2: Convert to fraction form
    3,491.53/5,231.14 = 1,844.44/x
  3. Step 3: Cross multiply
    3,491.53x = 5,231.14 × 1,844.44
  4. Step 4: Simplify right side
    3,491.53x = 9,648,523.86
  5. Step 5: Solve for x
    x = 9,648,523.86/3,491.53
  6. Step 6: Final answer
    x = 2,763.41

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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.