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Finding the Fourth Proportional to 3,823.50, 5,735.52 and 3,471.42

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Solution

The fourth proportional to 3,823.50, 5,735.52 and 3,471.42 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.50 : 5,735.52 = 3,471.42 : x
  2. Step 2: Convert to fraction form
    3,823.50/5,735.52 = 3,471.42/x
  3. Step 3: Cross multiply
    3,823.50x = 5,735.52 × 3,471.42
  4. Step 4: Simplify right side
    3,823.50x = 19,910,398.84
  5. Step 5: Solve for x
    x = 19,910,398.84/3,823.50
  6. Step 6: Final answer
    x = 5,207.38

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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.