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Finding the Fourth Proportional to 3,818.36, 5,753.55 and 3,140.22

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Solution

The fourth proportional to 3,818.36, 5,753.55 and 3,140.22 is: 4,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.36 : 5,753.55 = 3,140.22 : x
  2. Step 2: Convert to fraction form
    3,818.36/5,753.55 = 3,140.22/x
  3. Step 3: Cross multiply
    3,818.36x = 5,753.55 × 3,140.22
  4. Step 4: Simplify right side
    3,818.36x = 18,067,384.01
  5. Step 5: Solve for x
    x = 18,067,384.01/3,818.36
  6. Step 6: Final answer
    x = 4,731.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.