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Finding the Fourth Proportional to 6,584.67, 9,086.78 and 3,600.47

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Solution

The fourth proportional to 6,584.67, 9,086.78 and 3,600.47 is: 4,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.67 : 9,086.78 = 3,600.47 : x
  2. Step 2: Convert to fraction form
    6,584.67/9,086.78 = 3,600.47/x
  3. Step 3: Cross multiply
    6,584.67x = 9,086.78 × 3,600.47
  4. Step 4: Simplify right side
    6,584.67x = 32,716,710.50
  5. Step 5: Solve for x
    x = 32,716,710.50/6,584.67
  6. Step 6: Final answer
    x = 4,968.62

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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.