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Finding the Fourth Proportional to 5,714.82, 8,574.26 and 2,016.09

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Solution

The fourth proportional to 5,714.82, 8,574.26 and 2,016.09 is: 3,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.82 : 8,574.26 = 2,016.09 : x
  2. Step 2: Convert to fraction form
    5,714.82/8,574.26 = 2,016.09/x
  3. Step 3: Cross multiply
    5,714.82x = 8,574.26 × 2,016.09
  4. Step 4: Simplify right side
    5,714.82x = 17,286,469.76
  5. Step 5: Solve for x
    x = 17,286,469.76/5,714.82
  6. Step 6: Final answer
    x = 3,024.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.