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Finding the Fourth Proportional to 5,504, 8,256 and 3,453.44

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Solution

The fourth proportional to 5,504, 8,256 and 3,453.44 is: 5,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504 : 8,256 = 3,453.44 : x
  2. Step 2: Convert to fraction form
    5,504/8,256 = 3,453.44/x
  3. Step 3: Cross multiply
    5,504x = 8,256 × 3,453.44
  4. Step 4: Simplify right side
    5,504x = 28,511,600.64
  5. Step 5: Solve for x
    x = 28,511,600.64/5,504
  6. Step 6: Final answer
    x = 5,180.16

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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.