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Finding the Fourth Proportional to 4,512.82, 6,224.61 and 2,943.04

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Solution

The fourth proportional to 4,512.82, 6,224.61 and 2,943.04 is: 4,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.82 : 6,224.61 = 2,943.04 : x
  2. Step 2: Convert to fraction form
    4,512.82/6,224.61 = 2,943.04/x
  3. Step 3: Cross multiply
    4,512.82x = 6,224.61 × 2,943.04
  4. Step 4: Simplify right side
    4,512.82x = 18,319,276.21
  5. Step 5: Solve for x
    x = 18,319,276.21/4,512.82
  6. Step 6: Final answer
    x = 4,059.39

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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.