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Finding the Fourth Proportional to 6,584.52, 9,086.66 and 3,790

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Solution

The fourth proportional to 6,584.52, 9,086.66 and 3,790 is: 5,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.52 : 9,086.66 = 3,790 : x
  2. Step 2: Convert to fraction form
    6,584.52/9,086.66 = 3,790/x
  3. Step 3: Cross multiply
    6,584.52x = 9,086.66 × 3,790
  4. Step 4: Simplify right side
    6,584.52x = 34,438,441.40
  5. Step 5: Solve for x
    x = 34,438,441.40/6,584.52
  6. Step 6: Final answer
    x = 5,230.21

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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.