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Finding the Fourth Proportional to 4,571.92, 6,850.69 and 3,534.47

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Solution

The fourth proportional to 4,571.92, 6,850.69 and 3,534.47 is: 5,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.92 : 6,850.69 = 3,534.47 : x
  2. Step 2: Convert to fraction form
    4,571.92/6,850.69 = 3,534.47/x
  3. Step 3: Cross multiply
    4,571.92x = 6,850.69 × 3,534.47
  4. Step 4: Simplify right side
    4,571.92x = 24,213,540.88
  5. Step 5: Solve for x
    x = 24,213,540.88/4,571.92
  6. Step 6: Final answer
    x = 5,296.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.