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Finding the Fourth Proportional to 5,644.63, 7,789.60 and 3,377.44

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Solution

The fourth proportional to 5,644.63, 7,789.60 and 3,377.44 is: 4,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.63 : 7,789.60 = 3,377.44 : x
  2. Step 2: Convert to fraction form
    5,644.63/7,789.60 = 3,377.44/x
  3. Step 3: Cross multiply
    5,644.63x = 7,789.60 × 3,377.44
  4. Step 4: Simplify right side
    5,644.63x = 26,308,906.62
  5. Step 5: Solve for x
    x = 26,308,906.62/5,644.63
  6. Step 6: Final answer
    x = 4,660.87

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1.5x scale

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.