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Finding the Fourth Proportional to 3,930.53, 5,424.22 and 2,162.23

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Solution

The fourth proportional to 3,930.53, 5,424.22 and 2,162.23 is: 2,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.53 : 5,424.22 = 2,162.23 : x
  2. Step 2: Convert to fraction form
    3,930.53/5,424.22 = 2,162.23/x
  3. Step 3: Cross multiply
    3,930.53x = 5,424.22 × 2,162.23
  4. Step 4: Simplify right side
    3,930.53x = 11,728,411.21
  5. Step 5: Solve for x
    x = 11,728,411.21/3,930.53
  6. Step 6: Final answer
    x = 2,983.93

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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.