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Finding the Fourth Proportional to 4,144.47, 6,217.73 and 3,405.33

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Solution

The fourth proportional to 4,144.47, 6,217.73 and 3,405.33 is: 5,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.47 : 6,217.73 = 3,405.33 : x
  2. Step 2: Convert to fraction form
    4,144.47/6,217.73 = 3,405.33/x
  3. Step 3: Cross multiply
    4,144.47x = 6,217.73 × 3,405.33
  4. Step 4: Simplify right side
    4,144.47x = 21,173,422.50
  5. Step 5: Solve for x
    x = 21,173,422.50/4,144.47
  6. Step 6: Final answer
    x = 5,108.84

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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.