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Finding the Fourth Proportional to 5,229.42, 7,844.56 and 1,333.82

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Solution

The fourth proportional to 5,229.42, 7,844.56 and 1,333.82 is: 2,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.42 : 7,844.56 = 1,333.82 : x
  2. Step 2: Convert to fraction form
    5,229.42/7,844.56 = 1,333.82/x
  3. Step 3: Cross multiply
    5,229.42x = 7,844.56 × 1,333.82
  4. Step 4: Simplify right side
    5,229.42x = 10,463,231.02
  5. Step 5: Solve for x
    x = 10,463,231.02/5,229.42
  6. Step 6: Final answer
    x = 2,000.84

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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.