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Finding the Fourth Proportional to 3,447.44, 5,168.28 and 1,394

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Solution

The fourth proportional to 3,447.44, 5,168.28 and 1,394 is: 2,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.44 : 5,168.28 = 1,394 : x
  2. Step 2: Convert to fraction form
    3,447.44/5,168.28 = 1,394/x
  3. Step 3: Cross multiply
    3,447.44x = 5,168.28 × 1,394
  4. Step 4: Simplify right side
    3,447.44x = 7,204,582.32
  5. Step 5: Solve for x
    x = 7,204,582.32/3,447.44
  6. Step 6: Final answer
    x = 2,089.84

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Why These Related Problems?

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