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Finding the Fourth Proportional to 3,962.80, 5,942.04 and 2,116

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Solution

The fourth proportional to 3,962.80, 5,942.04 and 2,116 is: 3,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.80 : 5,942.04 = 2,116 : x
  2. Step 2: Convert to fraction form
    3,962.80/5,942.04 = 2,116/x
  3. Step 3: Cross multiply
    3,962.80x = 5,942.04 × 2,116
  4. Step 4: Simplify right side
    3,962.80x = 12,573,356.64
  5. Step 5: Solve for x
    x = 12,573,356.64/3,962.80
  6. Step 6: Final answer
    x = 3,172.85

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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.