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Finding the Fourth Proportional to 3,221.70, 4,826.86 and 2,821.92

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Solution

The fourth proportional to 3,221.70, 4,826.86 and 2,821.92 is: 4,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.70 : 4,826.86 = 2,821.92 : x
  2. Step 2: Convert to fraction form
    3,221.70/4,826.86 = 2,821.92/x
  3. Step 3: Cross multiply
    3,221.70x = 4,826.86 × 2,821.92
  4. Step 4: Simplify right side
    3,221.70x = 13,621,012.77
  5. Step 5: Solve for x
    x = 13,621,012.77/3,221.70
  6. Step 6: Final answer
    x = 4,227.90

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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.