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Finding the Fourth Proportional to 3,690.86, 5,536.44 and 1,093.77

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Solution

The fourth proportional to 3,690.86, 5,536.44 and 1,093.77 is: 1,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.86 : 5,536.44 = 1,093.77 : x
  2. Step 2: Convert to fraction form
    3,690.86/5,536.44 = 1,093.77/x
  3. Step 3: Cross multiply
    3,690.86x = 5,536.44 × 1,093.77
  4. Step 4: Simplify right side
    3,690.86x = 6,055,591.98
  5. Step 5: Solve for x
    x = 6,055,591.98/3,690.86
  6. Step 6: Final answer
    x = 1,640.70

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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.