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Finding the Fourth Proportional to 3,227, 4,453.22 and 1,829.76

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Solution

The fourth proportional to 3,227, 4,453.22 and 1,829.76 is: 2,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227 : 4,453.22 = 1,829.76 : x
  2. Step 2: Convert to fraction form
    3,227/4,453.22 = 1,829.76/x
  3. Step 3: Cross multiply
    3,227x = 4,453.22 × 1,829.76
  4. Step 4: Simplify right side
    3,227x = 8,148,323.83
  5. Step 5: Solve for x
    x = 8,148,323.83/3,227
  6. Step 6: Final answer
    x = 2,525.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.