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Finding the Fourth Proportional to 3,287.52, 4,540.66 and 2,617.60

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Solution

The fourth proportional to 3,287.52, 4,540.66 and 2,617.60 is: 3,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,540.66 = 2,617.60 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,540.66 = 2,617.60/x
  3. Step 3: Cross multiply
    3,287.52x = 4,540.66 × 2,617.60
  4. Step 4: Simplify right side
    3,287.52x = 11,885,631.62
  5. Step 5: Solve for x
    x = 11,885,631.62/3,287.52
  6. Step 6: Final answer
    x = 3,615.38

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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.