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Finding the Fourth Proportional to 3,409.28, 5,109.44 and 1,761.60

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Solution

The fourth proportional to 3,409.28, 5,109.44 and 1,761.60 is: 2,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.28 : 5,109.44 = 1,761.60 : x
  2. Step 2: Convert to fraction form
    3,409.28/5,109.44 = 1,761.60/x
  3. Step 3: Cross multiply
    3,409.28x = 5,109.44 × 1,761.60
  4. Step 4: Simplify right side
    3,409.28x = 9,000,789.50
  5. Step 5: Solve for x
    x = 9,000,789.50/3,409.28
  6. Step 6: Final answer
    x = 2,640.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.