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Finding the Fourth Proportional to 4,199.89, 5,795.14 and 2,431.19

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Solution

The fourth proportional to 4,199.89, 5,795.14 and 2,431.19 is: 3,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.89 : 5,795.14 = 2,431.19 : x
  2. Step 2: Convert to fraction form
    4,199.89/5,795.14 = 2,431.19/x
  3. Step 3: Cross multiply
    4,199.89x = 5,795.14 × 2,431.19
  4. Step 4: Simplify right side
    4,199.89x = 14,089,086.42
  5. Step 5: Solve for x
    x = 14,089,086.42/4,199.89
  6. Step 6: Final answer
    x = 3,354.63

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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.