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Finding the Fourth Proportional to 5,927.50, 8,180.06 and 3,274.75

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Solution

The fourth proportional to 5,927.50, 8,180.06 and 3,274.75 is: 4,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.50 : 8,180.06 = 3,274.75 : x
  2. Step 2: Convert to fraction form
    5,927.50/8,180.06 = 3,274.75/x
  3. Step 3: Cross multiply
    5,927.50x = 8,180.06 × 3,274.75
  4. Step 4: Simplify right side
    5,927.50x = 26,787,651.49
  5. Step 5: Solve for x
    x = 26,787,651.49/5,927.50
  6. Step 6: Final answer
    x = 4,519.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.