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Finding the Fourth Proportional to 4,199.27, 5,790.19 and 2,684.81

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Solution

The fourth proportional to 4,199.27, 5,790.19 and 2,684.81 is: 3,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.27 : 5,790.19 = 2,684.81 : x
  2. Step 2: Convert to fraction form
    4,199.27/5,790.19 = 2,684.81/x
  3. Step 3: Cross multiply
    4,199.27x = 5,790.19 × 2,684.81
  4. Step 4: Simplify right side
    4,199.27x = 15,545,546.59
  5. Step 5: Solve for x
    x = 15,545,546.59/4,199.27
  6. Step 6: Final answer
    x = 3,701.96

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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.