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Finding the Fourth Proportional to 3,938.42, 5,429.58 and 2,817.42

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Solution

The fourth proportional to 3,938.42, 5,429.58 and 2,817.42 is: 3,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.42 : 5,429.58 = 2,817.42 : x
  2. Step 2: Convert to fraction form
    3,938.42/5,429.58 = 2,817.42/x
  3. Step 3: Cross multiply
    3,938.42x = 5,429.58 × 2,817.42
  4. Step 4: Simplify right side
    3,938.42x = 15,297,407.28
  5. Step 5: Solve for x
    x = 15,297,407.28/3,938.42
  6. Step 6: Final answer
    x = 3,884.15

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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.