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Finding the Fourth Proportional to 6,424.28, 8,866.17 and 3,906.58

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Solution

The fourth proportional to 6,424.28, 8,866.17 and 3,906.58 is: 5,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.28 : 8,866.17 = 3,906.58 : x
  2. Step 2: Convert to fraction form
    6,424.28/8,866.17 = 3,906.58/x
  3. Step 3: Cross multiply
    6,424.28x = 8,866.17 × 3,906.58
  4. Step 4: Simplify right side
    6,424.28x = 34,636,338.53
  5. Step 5: Solve for x
    x = 34,636,338.53/6,424.28
  6. Step 6: Final answer
    x = 5,391.47

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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.