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Finding the Fourth Proportional to 4,208.22, 6,305.31 and 2,972.97

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Solution

The fourth proportional to 4,208.22, 6,305.31 and 2,972.97 is: 4,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.22 : 6,305.31 = 2,972.97 : x
  2. Step 2: Convert to fraction form
    4,208.22/6,305.31 = 2,972.97/x
  3. Step 3: Cross multiply
    4,208.22x = 6,305.31 × 2,972.97
  4. Step 4: Simplify right side
    4,208.22x = 18,745,497.47
  5. Step 5: Solve for x
    x = 18,745,497.47/4,208.22
  6. Step 6: Final answer
    x = 4,454.50

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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.