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Finding the Fourth Proportional to 4,609.68, 6,361.40 and 2,513.82

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Solution

The fourth proportional to 4,609.68, 6,361.40 and 2,513.82 is: 3,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.68 : 6,361.40 = 2,513.82 : x
  2. Step 2: Convert to fraction form
    4,609.68/6,361.40 = 2,513.82/x
  3. Step 3: Cross multiply
    4,609.68x = 6,361.40 × 2,513.82
  4. Step 4: Simplify right side
    4,609.68x = 15,991,414.55
  5. Step 5: Solve for x
    x = 15,991,414.55/4,609.68
  6. Step 6: Final answer
    x = 3,469.09

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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.