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Finding the Fourth Proportional to 5,467, 8,201.89 and 1,571.41

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Solution

The fourth proportional to 5,467, 8,201.89 and 1,571.41 is: 2,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467 : 8,201.89 = 1,571.41 : x
  2. Step 2: Convert to fraction form
    5,467/8,201.89 = 1,571.41/x
  3. Step 3: Cross multiply
    5,467x = 8,201.89 × 1,571.41
  4. Step 4: Simplify right side
    5,467x = 12,888,531.96
  5. Step 5: Solve for x
    x = 12,888,531.96/5,467
  6. Step 6: Final answer
    x = 2,357.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.