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Finding the Fourth Proportional to 3,761.50, 5,638.47 and 1,571.44

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Solution

The fourth proportional to 3,761.50, 5,638.47 and 1,571.44 is: 2,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.50 : 5,638.47 = 1,571.44 : x
  2. Step 2: Convert to fraction form
    3,761.50/5,638.47 = 1,571.44/x
  3. Step 3: Cross multiply
    3,761.50x = 5,638.47 × 1,571.44
  4. Step 4: Simplify right side
    3,761.50x = 8,860,517.30
  5. Step 5: Solve for x
    x = 8,860,517.30/3,761.50
  6. Step 6: Final answer
    x = 2,355.58

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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.