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Finding the Fourth Proportional to 5,714.28, 8,571.50 and 1,821.96

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Solution

The fourth proportional to 5,714.28, 8,571.50 and 1,821.96 is: 2,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.28 : 8,571.50 = 1,821.96 : x
  2. Step 2: Convert to fraction form
    5,714.28/8,571.50 = 1,821.96/x
  3. Step 3: Cross multiply
    5,714.28x = 8,571.50 × 1,821.96
  4. Step 4: Simplify right side
    5,714.28x = 15,616,930.14
  5. Step 5: Solve for x
    x = 15,616,930.14/5,714.28
  6. Step 6: Final answer
    x = 2,732.97

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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.