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Finding the Fourth Proportional to 4,310.92, 6,469.22 and 2,364.49

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Solution

The fourth proportional to 4,310.92, 6,469.22 and 2,364.49 is: 3,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.92 : 6,469.22 = 2,364.49 : x
  2. Step 2: Convert to fraction form
    4,310.92/6,469.22 = 2,364.49/x
  3. Step 3: Cross multiply
    4,310.92x = 6,469.22 × 2,364.49
  4. Step 4: Simplify right side
    4,310.92x = 15,296,394.18
  5. Step 5: Solve for x
    x = 15,296,394.18/4,310.92
  6. Step 6: Final answer
    x = 3,548.29

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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.