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Finding the Fourth Proportional to 4,297.44, 6,447 and 1,375.52

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Solution

The fourth proportional to 4,297.44, 6,447 and 1,375.52 is: 2,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.44 : 6,447 = 1,375.52 : x
  2. Step 2: Convert to fraction form
    4,297.44/6,447 = 1,375.52/x
  3. Step 3: Cross multiply
    4,297.44x = 6,447 × 1,375.52
  4. Step 4: Simplify right side
    4,297.44x = 8,867,977.44
  5. Step 5: Solve for x
    x = 8,867,977.44/4,297.44
  6. Step 6: Final answer
    x = 2,063.55

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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.