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Finding the Fourth Proportional to 5,714.84, 8,571.54 and 3,249.44

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Solution

The fourth proportional to 5,714.84, 8,571.54 and 3,249.44 is: 4,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.84 : 8,571.54 = 3,249.44 : x
  2. Step 2: Convert to fraction form
    5,714.84/8,571.54 = 3,249.44/x
  3. Step 3: Cross multiply
    5,714.84x = 8,571.54 × 3,249.44
  4. Step 4: Simplify right side
    5,714.84x = 27,852,662.08
  5. Step 5: Solve for x
    x = 27,852,662.08/5,714.84
  6. Step 6: Final answer
    x = 4,873.75

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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.