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Finding the Fourth Proportional to 5,535.92, 7,640.64 and 3,179.68

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Solution

The fourth proportional to 5,535.92, 7,640.64 and 3,179.68 is: 4,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.92 : 7,640.64 = 3,179.68 : x
  2. Step 2: Convert to fraction form
    5,535.92/7,640.64 = 3,179.68/x
  3. Step 3: Cross multiply
    5,535.92x = 7,640.64 × 3,179.68
  4. Step 4: Simplify right side
    5,535.92x = 24,294,790.20
  5. Step 5: Solve for x
    x = 24,294,790.20/5,535.92
  6. Step 6: Final answer
    x = 4,388.57

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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.