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Finding the Fourth Proportional to 4,199.11, 5,794.92 and 2,406.92

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Solution

The fourth proportional to 4,199.11, 5,794.92 and 2,406.92 is: 3,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.11 : 5,794.92 = 2,406.92 : x
  2. Step 2: Convert to fraction form
    4,199.11/5,794.92 = 2,406.92/x
  3. Step 3: Cross multiply
    4,199.11x = 5,794.92 × 2,406.92
  4. Step 4: Simplify right side
    4,199.11x = 13,947,908.85
  5. Step 5: Solve for x
    x = 13,947,908.85/4,199.11
  6. Step 6: Final answer
    x = 3,321.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.