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Finding the Fourth Proportional to 5,714.14, 8,571.59 and 2,204.18

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Solution

The fourth proportional to 5,714.14, 8,571.59 and 2,204.18 is: 3,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.14 : 8,571.59 = 2,204.18 : x
  2. Step 2: Convert to fraction form
    5,714.14/8,571.59 = 2,204.18/x
  3. Step 3: Cross multiply
    5,714.14x = 8,571.59 × 2,204.18
  4. Step 4: Simplify right side
    5,714.14x = 18,893,305.51
  5. Step 5: Solve for x
    x = 18,893,305.51/5,714.14
  6. Step 6: Final answer
    x = 3,306.41

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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.