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Finding the Fourth Proportional to 5,383.78, 7,426.38 and 3,257.80

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Solution

The fourth proportional to 5,383.78, 7,426.38 and 3,257.80 is: 4,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.78 : 7,426.38 = 3,257.80 : x
  2. Step 2: Convert to fraction form
    5,383.78/7,426.38 = 3,257.80/x
  3. Step 3: Cross multiply
    5,383.78x = 7,426.38 × 3,257.80
  4. Step 4: Simplify right side
    5,383.78x = 24,193,660.76
  5. Step 5: Solve for x
    x = 24,193,660.76/5,383.78
  6. Step 6: Final answer
    x = 4,493.81

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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.