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Finding the Fourth Proportional to 3,224.36, 4,839.28 and 1,764.54

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Solution

The fourth proportional to 3,224.36, 4,839.28 and 1,764.54 is: 2,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.36 : 4,839.28 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    3,224.36/4,839.28 = 1,764.54/x
  3. Step 3: Cross multiply
    3,224.36x = 4,839.28 × 1,764.54
  4. Step 4: Simplify right side
    3,224.36x = 8,539,103.13
  5. Step 5: Solve for x
    x = 8,539,103.13/3,224.36
  6. Step 6: Final answer
    x = 2,648.31

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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.