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Finding the Fourth Proportional to 3,396.14, 5,094.59 and 3,047.33

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Solution

The fourth proportional to 3,396.14, 5,094.59 and 3,047.33 is: 4,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.14 : 5,094.59 = 3,047.33 : x
  2. Step 2: Convert to fraction form
    3,396.14/5,094.59 = 3,047.33/x
  3. Step 3: Cross multiply
    3,396.14x = 5,094.59 × 3,047.33
  4. Step 4: Simplify right side
    3,396.14x = 15,524,896.94
  5. Step 5: Solve for x
    x = 15,524,896.94/3,396.14
  6. Step 6: Final answer
    x = 4,571.34

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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.