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Finding the Fourth Proportional to 6,584.82, 9,087.68 and 3,601.11

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Solution

The fourth proportional to 6,584.82, 9,087.68 and 3,601.11 is: 4,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.82 : 9,087.68 = 3,601.11 : x
  2. Step 2: Convert to fraction form
    6,584.82/9,087.68 = 3,601.11/x
  3. Step 3: Cross multiply
    6,584.82x = 9,087.68 × 3,601.11
  4. Step 4: Simplify right side
    6,584.82x = 32,725,717.32
  5. Step 5: Solve for x
    x = 32,725,717.32/6,584.82
  6. Step 6: Final answer
    x = 4,969.87

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