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Finding the Fourth Proportional to 4,021.64, 6,034.17 and 1,682.18

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Solution

The fourth proportional to 4,021.64, 6,034.17 and 1,682.18 is: 2,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.64 : 6,034.17 = 1,682.18 : x
  2. Step 2: Convert to fraction form
    4,021.64/6,034.17 = 1,682.18/x
  3. Step 3: Cross multiply
    4,021.64x = 6,034.17 × 1,682.18
  4. Step 4: Simplify right side
    4,021.64x = 10,150,560.09
  5. Step 5: Solve for x
    x = 10,150,560.09/4,021.64
  6. Step 6: Final answer
    x = 2,523.99

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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.