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Finding the Fourth Proportional to 3,682.02, 5,522.49 and 1,218.54

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Solution

The fourth proportional to 3,682.02, 5,522.49 and 1,218.54 is: 1,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.02 : 5,522.49 = 1,218.54 : x
  2. Step 2: Convert to fraction form
    3,682.02/5,522.49 = 1,218.54/x
  3. Step 3: Cross multiply
    3,682.02x = 5,522.49 × 1,218.54
  4. Step 4: Simplify right side
    3,682.02x = 6,729,374.96
  5. Step 5: Solve for x
    x = 6,729,374.96/3,682.02
  6. Step 6: Final answer
    x = 1,827.63

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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.