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Finding the Fourth Proportional to 4,319.52, 6,481.91 and 1,722.25

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Solution

The fourth proportional to 4,319.52, 6,481.91 and 1,722.25 is: 2,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.52 : 6,481.91 = 1,722.25 : x
  2. Step 2: Convert to fraction form
    4,319.52/6,481.91 = 1,722.25/x
  3. Step 3: Cross multiply
    4,319.52x = 6,481.91 × 1,722.25
  4. Step 4: Simplify right side
    4,319.52x = 11,163,469.50
  5. Step 5: Solve for x
    x = 11,163,469.50/4,319.52
  6. Step 6: Final answer
    x = 2,584.42

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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.