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Finding the Fourth Proportional to 5,576, 8,367.84 and 1,928

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Solution

The fourth proportional to 5,576, 8,367.84 and 1,928 is: 2,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 8,367.84 = 1,928 : x
  2. Step 2: Convert to fraction form
    5,576/8,367.84 = 1,928/x
  3. Step 3: Cross multiply
    5,576x = 8,367.84 × 1,928
  4. Step 4: Simplify right side
    5,576x = 16,133,195.52
  5. Step 5: Solve for x
    x = 16,133,195.52/5,576
  6. Step 6: Final answer
    x = 2,893.33

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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.