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Finding the Fourth Proportional to 5,923, 8,884.50 and 1,819

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Solution

The fourth proportional to 5,923, 8,884.50 and 1,819 is: 2,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923 : 8,884.50 = 1,819 : x
  2. Step 2: Convert to fraction form
    5,923/8,884.50 = 1,819/x
  3. Step 3: Cross multiply
    5,923x = 8,884.50 × 1,819
  4. Step 4: Simplify right side
    5,923x = 16,160,905.50
  5. Step 5: Solve for x
    x = 16,160,905.50/5,923
  6. Step 6: Final answer
    x = 2,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.