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Finding the Fourth Proportional to 4,199.94, 5,794.74 and 2,431.44

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Solution

The fourth proportional to 4,199.94, 5,794.74 and 2,431.44 is: 3,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.94 : 5,794.74 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    4,199.94/5,794.74 = 2,431.44/x
  3. Step 3: Cross multiply
    4,199.94x = 5,794.74 × 2,431.44
  4. Step 4: Simplify right side
    4,199.94x = 14,089,562.63
  5. Step 5: Solve for x
    x = 14,089,562.63/4,199.94
  6. Step 6: Final answer
    x = 3,354.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.