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Finding the Fourth Proportional to 4,199.58, 6,295.32 and 3,838.73

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Solution

The fourth proportional to 4,199.58, 6,295.32 and 3,838.73 is: 5,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.58 : 6,295.32 = 3,838.73 : x
  2. Step 2: Convert to fraction form
    4,199.58/6,295.32 = 3,838.73/x
  3. Step 3: Cross multiply
    4,199.58x = 6,295.32 × 3,838.73
  4. Step 4: Simplify right side
    4,199.58x = 24,166,002.27
  5. Step 5: Solve for x
    x = 24,166,002.27/4,199.58
  6. Step 6: Final answer
    x = 5,754.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.