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Finding the Fourth Proportional to 5,714.73, 8,575.92 and 2,016.97

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Solution

The fourth proportional to 5,714.73, 8,575.92 and 2,016.97 is: 3,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.73 : 8,575.92 = 2,016.97 : x
  2. Step 2: Convert to fraction form
    5,714.73/8,575.92 = 2,016.97/x
  3. Step 3: Cross multiply
    5,714.73x = 8,575.92 × 2,016.97
  4. Step 4: Simplify right side
    5,714.73x = 17,297,363.28
  5. Step 5: Solve for x
    x = 17,297,363.28/5,714.73
  6. Step 6: Final answer
    x = 3,026.80

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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.