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Finding the Fourth Proportional to 5,866.92, 8,096.28 and 3,214.29

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Solution

The fourth proportional to 5,866.92, 8,096.28 and 3,214.29 is: 4,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.92 : 8,096.28 = 3,214.29 : x
  2. Step 2: Convert to fraction form
    5,866.92/8,096.28 = 3,214.29/x
  3. Step 3: Cross multiply
    5,866.92x = 8,096.28 × 3,214.29
  4. Step 4: Simplify right side
    5,866.92x = 26,023,791.84
  5. Step 5: Solve for x
    x = 26,023,791.84/5,866.92
  6. Step 6: Final answer
    x = 4,435.68

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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.