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Finding the Fourth Proportional to 6,399.51, 9,600.57 and 3,627.42

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Solution

The fourth proportional to 6,399.51, 9,600.57 and 3,627.42 is: 5,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.51 : 9,600.57 = 3,627.42 : x
  2. Step 2: Convert to fraction form
    6,399.51/9,600.57 = 3,627.42/x
  3. Step 3: Cross multiply
    6,399.51x = 9,600.57 × 3,627.42
  4. Step 4: Simplify right side
    6,399.51x = 34,825,299.63
  5. Step 5: Solve for x
    x = 34,825,299.63/6,399.51
  6. Step 6: Final answer
    x = 5,441.87

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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.