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Finding the Fourth Proportional to 3,962.42, 5,941.19 and 1,768.13

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Solution

The fourth proportional to 3,962.42, 5,941.19 and 1,768.13 is: 2,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.42 : 5,941.19 = 1,768.13 : x
  2. Step 2: Convert to fraction form
    3,962.42/5,941.19 = 1,768.13/x
  3. Step 3: Cross multiply
    3,962.42x = 5,941.19 × 1,768.13
  4. Step 4: Simplify right side
    3,962.42x = 10,504,770.99
  5. Step 5: Solve for x
    x = 10,504,770.99/3,962.42
  6. Step 6: Final answer
    x = 2,651.10

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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.