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Finding the Fourth Proportional to 5,927.50, 8,180.03 and 3,274.97

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Solution

The fourth proportional to 5,927.50, 8,180.03 and 3,274.97 is: 4,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.50 : 8,180.03 = 3,274.97 : x
  2. Step 2: Convert to fraction form
    5,927.50/8,180.03 = 3,274.97/x
  3. Step 3: Cross multiply
    5,927.50x = 8,180.03 × 3,274.97
  4. Step 4: Simplify right side
    5,927.50x = 26,789,311.95
  5. Step 5: Solve for x
    x = 26,789,311.95/5,927.50
  6. Step 6: Final answer
    x = 4,519.50

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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.