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Finding the Fourth Proportional to 5,682.56, 8,524.20 and 3,218.54

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Solution

The fourth proportional to 5,682.56, 8,524.20 and 3,218.54 is: 4,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.56 : 8,524.20 = 3,218.54 : x
  2. Step 2: Convert to fraction form
    5,682.56/8,524.20 = 3,218.54/x
  3. Step 3: Cross multiply
    5,682.56x = 8,524.20 × 3,218.54
  4. Step 4: Simplify right side
    5,682.56x = 27,435,478.67
  5. Step 5: Solve for x
    x = 27,435,478.67/5,682.56
  6. Step 6: Final answer
    x = 4,828.01

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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.