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Finding the Fourth Proportional to 3,818.63, 5,269.71 and 2,162.63

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Solution

The fourth proportional to 3,818.63, 5,269.71 and 2,162.63 is: 2,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.63 : 5,269.71 = 2,162.63 : x
  2. Step 2: Convert to fraction form
    3,818.63/5,269.71 = 2,162.63/x
  3. Step 3: Cross multiply
    3,818.63x = 5,269.71 × 2,162.63
  4. Step 4: Simplify right side
    3,818.63x = 11,396,406.59
  5. Step 5: Solve for x
    x = 11,396,406.59/3,818.63
  6. Step 6: Final answer
    x = 2,984.43

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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.