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Finding the Fourth Proportional to 3,144.57, 4,339.58 and 1,728.39

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Solution

The fourth proportional to 3,144.57, 4,339.58 and 1,728.39 is: 2,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.57 : 4,339.58 = 1,728.39 : x
  2. Step 2: Convert to fraction form
    3,144.57/4,339.58 = 1,728.39/x
  3. Step 3: Cross multiply
    3,144.57x = 4,339.58 × 1,728.39
  4. Step 4: Simplify right side
    3,144.57x = 7,500,469.90
  5. Step 5: Solve for x
    x = 7,500,469.90/3,144.57
  6. Step 6: Final answer
    x = 2,385.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.