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Finding the Fourth Proportional to 4,219.56, 5,790.96 and 3,972.24

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Solution

The fourth proportional to 4,219.56, 5,790.96 and 3,972.24 is: 5,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.56 : 5,790.96 = 3,972.24 : x
  2. Step 2: Convert to fraction form
    4,219.56/5,790.96 = 3,972.24/x
  3. Step 3: Cross multiply
    4,219.56x = 5,790.96 × 3,972.24
  4. Step 4: Simplify right side
    4,219.56x = 23,003,082.95
  5. Step 5: Solve for x
    x = 23,003,082.95/4,219.56
  6. Step 6: Final answer
    x = 5,451.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.