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Finding the Fourth Proportional to 3,476.44, 5,214.24 and 1,396.36

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Solution

The fourth proportional to 3,476.44, 5,214.24 and 1,396.36 is: 2,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.44 : 5,214.24 = 1,396.36 : x
  2. Step 2: Convert to fraction form
    3,476.44/5,214.24 = 1,396.36/x
  3. Step 3: Cross multiply
    3,476.44x = 5,214.24 × 1,396.36
  4. Step 4: Simplify right side
    3,476.44x = 7,280,949.18
  5. Step 5: Solve for x
    x = 7,280,949.18/3,476.44
  6. Step 6: Final answer
    x = 2,094.37

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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.