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Finding the Fourth Proportional to 4,219.56, 6,324.42 and 3,176.22

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Solution

The fourth proportional to 4,219.56, 6,324.42 and 3,176.22 is: 4,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.56 : 6,324.42 = 3,176.22 : x
  2. Step 2: Convert to fraction form
    4,219.56/6,324.42 = 3,176.22/x
  3. Step 3: Cross multiply
    4,219.56x = 6,324.42 × 3,176.22
  4. Step 4: Simplify right side
    4,219.56x = 20,087,749.29
  5. Step 5: Solve for x
    x = 20,087,749.29/4,219.56
  6. Step 6: Final answer
    x = 4,760.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.