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Finding the Fourth Proportional to 3,227.88, 4,829.22 and 2,834.76

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Solution

The fourth proportional to 3,227.88, 4,829.22 and 2,834.76 is: 4,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.88 : 4,829.22 = 2,834.76 : x
  2. Step 2: Convert to fraction form
    3,227.88/4,829.22 = 2,834.76/x
  3. Step 3: Cross multiply
    3,227.88x = 4,829.22 × 2,834.76
  4. Step 4: Simplify right side
    3,227.88x = 13,689,679.69
  5. Step 5: Solve for x
    x = 13,689,679.69/3,227.88
  6. Step 6: Final answer
    x = 4,241.07

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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.