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Finding the Fourth Proportional to 4,408.92, 6,620.00 and 3,817.76

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Solution

The fourth proportional to 4,408.92, 6,620.00 and 3,817.76 is: 5,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.92 : 6,620.00 = 3,817.76 : x
  2. Step 2: Convert to fraction form
    4,408.92/6,620.00 = 3,817.76/x
  3. Step 3: Cross multiply
    4,408.92x = 6,620.00 × 3,817.76
  4. Step 4: Simplify right side
    4,408.92x = 25,273,519.01
  5. Step 5: Solve for x
    x = 25,273,519.01/4,408.92
  6. Step 6: Final answer
    x = 5,732.36

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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.