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Finding the Fourth Proportional to 5,474.83, 8,211.03 and 1,579.54

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Solution

The fourth proportional to 5,474.83, 8,211.03 and 1,579.54 is: 2,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.83 : 8,211.03 = 1,579.54 : x
  2. Step 2: Convert to fraction form
    5,474.83/8,211.03 = 1,579.54/x
  3. Step 3: Cross multiply
    5,474.83x = 8,211.03 × 1,579.54
  4. Step 4: Simplify right side
    5,474.83x = 12,969,650.33
  5. Step 5: Solve for x
    x = 12,969,650.33/5,474.83
  6. Step 6: Final answer
    x = 2,368.96

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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.