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Finding the Fourth Proportional to 3,682.96, 5,523.83 and 1,085.29

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Solution

The fourth proportional to 3,682.96, 5,523.83 and 1,085.29 is: 1,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.96 : 5,523.83 = 1,085.29 : x
  2. Step 2: Convert to fraction form
    3,682.96/5,523.83 = 1,085.29/x
  3. Step 3: Cross multiply
    3,682.96x = 5,523.83 × 1,085.29
  4. Step 4: Simplify right side
    3,682.96x = 5,994,924.42
  5. Step 5: Solve for x
    x = 5,994,924.42/3,682.96
  6. Step 6: Final answer
    x = 1,627.75

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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.