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Finding the Fourth Proportional to 6,584.14, 9,086.24 and 3,599.95

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Solution

The fourth proportional to 6,584.14, 9,086.24 and 3,599.95 is: 4,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.14 : 9,086.24 = 3,599.95 : x
  2. Step 2: Convert to fraction form
    6,584.14/9,086.24 = 3,599.95/x
  3. Step 3: Cross multiply
    6,584.14x = 9,086.24 × 3,599.95
  4. Step 4: Simplify right side
    6,584.14x = 32,709,991.69
  5. Step 5: Solve for x
    x = 32,709,991.69/6,584.14
  6. Step 6: Final answer
    x = 4,968.00

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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.