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Finding the Fourth Proportional to 4,141.57, 5,714.84 and 2,800.09

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Solution

The fourth proportional to 4,141.57, 5,714.84 and 2,800.09 is: 3,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.57 : 5,714.84 = 2,800.09 : x
  2. Step 2: Convert to fraction form
    4,141.57/5,714.84 = 2,800.09/x
  3. Step 3: Cross multiply
    4,141.57x = 5,714.84 × 2,800.09
  4. Step 4: Simplify right side
    4,141.57x = 16,002,092.61
  5. Step 5: Solve for x
    x = 16,002,092.61/4,141.57
  6. Step 6: Final answer
    x = 3,863.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.