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Finding the Fourth Proportional to 4,474.82, 6,714.95 and 2,829.09

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Solution

The fourth proportional to 4,474.82, 6,714.95 and 2,829.09 is: 4,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.82 : 6,714.95 = 2,829.09 : x
  2. Step 2: Convert to fraction form
    4,474.82/6,714.95 = 2,829.09/x
  3. Step 3: Cross multiply
    4,474.82x = 6,714.95 × 2,829.09
  4. Step 4: Simplify right side
    4,474.82x = 18,997,183.75
  5. Step 5: Solve for x
    x = 18,997,183.75/4,474.82
  6. Step 6: Final answer
    x = 4,245.36

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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.