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Finding the Fourth Proportional to 5,474.94, 8,212.47 and 1,579.38

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Solution

The fourth proportional to 5,474.94, 8,212.47 and 1,579.38 is: 2,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.94 : 8,212.47 = 1,579.38 : x
  2. Step 2: Convert to fraction form
    5,474.94/8,212.47 = 1,579.38/x
  3. Step 3: Cross multiply
    5,474.94x = 8,212.47 × 1,579.38
  4. Step 4: Simplify right side
    5,474.94x = 12,970,610.87
  5. Step 5: Solve for x
    x = 12,970,610.87/5,474.94
  6. Step 6: Final answer
    x = 2,369.09

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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.