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Finding the Fourth Proportional to 3,431.42, 4,736.99 and 2,299.04

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Solution

The fourth proportional to 3,431.42, 4,736.99 and 2,299.04 is: 3,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.42 : 4,736.99 = 2,299.04 : x
  2. Step 2: Convert to fraction form
    3,431.42/4,736.99 = 2,299.04/x
  3. Step 3: Cross multiply
    3,431.42x = 4,736.99 × 2,299.04
  4. Step 4: Simplify right side
    3,431.42x = 10,890,494.31
  5. Step 5: Solve for x
    x = 10,890,494.31/3,431.42
  6. Step 6: Final answer
    x = 3,173.76

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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.