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Finding the Fourth Proportional to 4,235.27, 6,344.98 and 3,777.71

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Solution

The fourth proportional to 4,235.27, 6,344.98 and 3,777.71 is: 5,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.27 : 6,344.98 = 3,777.71 : x
  2. Step 2: Convert to fraction form
    4,235.27/6,344.98 = 3,777.71/x
  3. Step 3: Cross multiply
    4,235.27x = 6,344.98 × 3,777.71
  4. Step 4: Simplify right side
    4,235.27x = 23,969,453.23
  5. Step 5: Solve for x
    x = 23,969,453.23/4,235.27
  6. Step 6: Final answer
    x = 5,659.49

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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.