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Finding the Fourth Proportional to 3,474.36, 5,213.70 and 1,422.36

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Solution

The fourth proportional to 3,474.36, 5,213.70 and 1,422.36 is: 2,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.36 : 5,213.70 = 1,422.36 : x
  2. Step 2: Convert to fraction form
    3,474.36/5,213.70 = 1,422.36/x
  3. Step 3: Cross multiply
    3,474.36x = 5,213.70 × 1,422.36
  4. Step 4: Simplify right side
    3,474.36x = 7,415,758.33
  5. Step 5: Solve for x
    x = 7,415,758.33/3,474.36
  6. Step 6: Final answer
    x = 2,134.42

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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.