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Finding the Fourth Proportional to 3,806, 5,700.04 and 3,193.64

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Solution

The fourth proportional to 3,806, 5,700.04 and 3,193.64 is: 4,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806 : 5,700.04 = 3,193.64 : x
  2. Step 2: Convert to fraction form
    3,806/5,700.04 = 3,193.64/x
  3. Step 3: Cross multiply
    3,806x = 5,700.04 × 3,193.64
  4. Step 4: Simplify right side
    3,806x = 18,203,875.75
  5. Step 5: Solve for x
    x = 18,203,875.75/3,806
  6. Step 6: Final answer
    x = 4,782.94

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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.