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Finding the Fourth Proportional to 4,882.50, 6,738.21 and 3,019.86

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Solution

The fourth proportional to 4,882.50, 6,738.21 and 3,019.86 is: 4,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.50 : 6,738.21 = 3,019.86 : x
  2. Step 2: Convert to fraction form
    4,882.50/6,738.21 = 3,019.86/x
  3. Step 3: Cross multiply
    4,882.50x = 6,738.21 × 3,019.86
  4. Step 4: Simplify right side
    4,882.50x = 20,348,450.85
  5. Step 5: Solve for x
    x = 20,348,450.85/4,882.50
  6. Step 6: Final answer
    x = 4,167.63

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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.