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Finding the Fourth Proportional to 3,682.72, 5,524.64 and 1,085.76

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Solution

The fourth proportional to 3,682.72, 5,524.64 and 1,085.76 is: 1,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.72 : 5,524.64 = 1,085.76 : x
  2. Step 2: Convert to fraction form
    3,682.72/5,524.64 = 1,085.76/x
  3. Step 3: Cross multiply
    3,682.72x = 5,524.64 × 1,085.76
  4. Step 4: Simplify right side
    3,682.72x = 5,998,433.13
  5. Step 5: Solve for x
    x = 5,998,433.13/3,682.72
  6. Step 6: Final answer
    x = 1,628.81

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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.