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Finding the Fourth Proportional to 6,182.52, 8,532.09 and 3,388.02

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Solution

The fourth proportional to 6,182.52, 8,532.09 and 3,388.02 is: 4,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.52 : 8,532.09 = 3,388.02 : x
  2. Step 2: Convert to fraction form
    6,182.52/8,532.09 = 3,388.02/x
  3. Step 3: Cross multiply
    6,182.52x = 8,532.09 × 3,388.02
  4. Step 4: Simplify right side
    6,182.52x = 28,906,891.56
  5. Step 5: Solve for x
    x = 28,906,891.56/6,182.52
  6. Step 6: Final answer
    x = 4,675.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.