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Finding the Fourth Proportional to 3,968.42, 5,954.26 and 1,337

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Solution

The fourth proportional to 3,968.42, 5,954.26 and 1,337 is: 2,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.42 : 5,954.26 = 1,337 : x
  2. Step 2: Convert to fraction form
    3,968.42/5,954.26 = 1,337/x
  3. Step 3: Cross multiply
    3,968.42x = 5,954.26 × 1,337
  4. Step 4: Simplify right side
    3,968.42x = 7,960,845.62
  5. Step 5: Solve for x
    x = 7,960,845.62/3,968.42
  6. Step 6: Final answer
    x = 2,006.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.