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Finding the Fourth Proportional to 3,439, 4,745.27 and 1,946.44

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Solution

The fourth proportional to 3,439, 4,745.27 and 1,946.44 is: 2,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439 : 4,745.27 = 1,946.44 : x
  2. Step 2: Convert to fraction form
    3,439/4,745.27 = 1,946.44/x
  3. Step 3: Cross multiply
    3,439x = 4,745.27 × 1,946.44
  4. Step 4: Simplify right side
    3,439x = 9,236,383.34
  5. Step 5: Solve for x
    x = 9,236,383.34/3,439
  6. Step 6: Final answer
    x = 2,685.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.