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Finding the Fourth Proportional to 6,584.73, 9,086.52 and 3,599.97

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Solution

The fourth proportional to 6,584.73, 9,086.52 and 3,599.97 is: 4,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.73 : 9,086.52 = 3,599.97 : x
  2. Step 2: Convert to fraction form
    6,584.73/9,086.52 = 3,599.97/x
  3. Step 3: Cross multiply
    6,584.73x = 9,086.52 × 3,599.97
  4. Step 4: Simplify right side
    6,584.73x = 32,711,199.40
  5. Step 5: Solve for x
    x = 32,711,199.40/6,584.73
  6. Step 6: Final answer
    x = 4,967.74

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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.