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Finding the Fourth Proportional to 4,201.34, 6,299.91 and 2,446.92

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Solution

The fourth proportional to 4,201.34, 6,299.91 and 2,446.92 is: 3,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.34 : 6,299.91 = 2,446.92 : x
  2. Step 2: Convert to fraction form
    4,201.34/6,299.91 = 2,446.92/x
  3. Step 3: Cross multiply
    4,201.34x = 6,299.91 × 2,446.92
  4. Step 4: Simplify right side
    4,201.34x = 15,415,375.78
  5. Step 5: Solve for x
    x = 15,415,375.78/4,201.34
  6. Step 6: Final answer
    x = 3,669.16

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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.