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Finding the Fourth Proportional to 3,962.74, 5,946.12 and 2,647.38

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Solution

The fourth proportional to 3,962.74, 5,946.12 and 2,647.38 is: 3,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.74 : 5,946.12 = 2,647.38 : x
  2. Step 2: Convert to fraction form
    3,962.74/5,946.12 = 2,647.38/x
  3. Step 3: Cross multiply
    3,962.74x = 5,946.12 × 2,647.38
  4. Step 4: Simplify right side
    3,962.74x = 15,741,639.17
  5. Step 5: Solve for x
    x = 15,741,639.17/3,962.74
  6. Step 6: Final answer
    x = 3,972.41

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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.