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Finding the Fourth Proportional to 5,733.50, 7,912.35 and 3,249.50

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Solution

The fourth proportional to 5,733.50, 7,912.35 and 3,249.50 is: 4,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.50 : 7,912.35 = 3,249.50 : x
  2. Step 2: Convert to fraction form
    5,733.50/7,912.35 = 3,249.50/x
  3. Step 3: Cross multiply
    5,733.50x = 7,912.35 × 3,249.50
  4. Step 4: Simplify right side
    5,733.50x = 25,711,181.33
  5. Step 5: Solve for x
    x = 25,711,181.33/5,733.50
  6. Step 6: Final answer
    x = 4,484.38

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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.