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Finding the Fourth Proportional to 5,006.41, 6,901.20 and 3,942.22

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Solution

The fourth proportional to 5,006.41, 6,901.20 and 3,942.22 is: 5,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.41 : 6,901.20 = 3,942.22 : x
  2. Step 2: Convert to fraction form
    5,006.41/6,901.20 = 3,942.22/x
  3. Step 3: Cross multiply
    5,006.41x = 6,901.20 × 3,942.22
  4. Step 4: Simplify right side
    5,006.41x = 27,206,044.35
  5. Step 5: Solve for x
    x = 27,206,044.35/5,006.41
  6. Step 6: Final answer
    x = 5,434.24

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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.