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Finding the Fourth Proportional to 4,469.14, 6,697.92 and 2,494.72

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Solution

The fourth proportional to 4,469.14, 6,697.92 and 2,494.72 is: 3,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.14 : 6,697.92 = 2,494.72 : x
  2. Step 2: Convert to fraction form
    4,469.14/6,697.92 = 2,494.72/x
  3. Step 3: Cross multiply
    4,469.14x = 6,697.92 × 2,494.72
  4. Step 4: Simplify right side
    4,469.14x = 16,709,434.98
  5. Step 5: Solve for x
    x = 16,709,434.98/4,469.14
  6. Step 6: Final answer
    x = 3,738.85

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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.