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Finding the Fourth Proportional to 6,544.21, 9,819.96 and 2,648.92

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Solution

The fourth proportional to 6,544.21, 9,819.96 and 2,648.92 is: 3,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.21 : 9,819.96 = 2,648.92 : x
  2. Step 2: Convert to fraction form
    6,544.21/9,819.96 = 2,648.92/x
  3. Step 3: Cross multiply
    6,544.21x = 9,819.96 × 2,648.92
  4. Step 4: Simplify right side
    6,544.21x = 26,012,288.44
  5. Step 5: Solve for x
    x = 26,012,288.44/6,544.21
  6. Step 6: Final answer
    x = 3,974.86

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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.