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Finding the Fourth Proportional to 5,583, 7,704.56 and 3,099

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Solution

The fourth proportional to 5,583, 7,704.56 and 3,099 is: 4,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583 : 7,704.56 = 3,099 : x
  2. Step 2: Convert to fraction form
    5,583/7,704.56 = 3,099/x
  3. Step 3: Cross multiply
    5,583x = 7,704.56 × 3,099
  4. Step 4: Simplify right side
    5,583x = 23,876,431.44
  5. Step 5: Solve for x
    x = 23,876,431.44/5,583
  6. Step 6: Final answer
    x = 4,276.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.