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Finding the Fourth Proportional to 5,467.47, 8,201.22 and 1,571.88

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Solution

The fourth proportional to 5,467.47, 8,201.22 and 1,571.88 is: 2,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.47 : 8,201.22 = 1,571.88 : x
  2. Step 2: Convert to fraction form
    5,467.47/8,201.22 = 1,571.88/x
  3. Step 3: Cross multiply
    5,467.47x = 8,201.22 × 1,571.88
  4. Step 4: Simplify right side
    5,467.47x = 12,891,333.69
  5. Step 5: Solve for x
    x = 12,891,333.69/5,467.47
  6. Step 6: Final answer
    x = 2,357.82

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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.