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Finding the Fourth Proportional to 3,690.48, 5,536.68 and 1,093.44

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Solution

The fourth proportional to 3,690.48, 5,536.68 and 1,093.44 is: 1,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.48 : 5,536.68 = 1,093.44 : x
  2. Step 2: Convert to fraction form
    3,690.48/5,536.68 = 1,093.44/x
  3. Step 3: Cross multiply
    3,690.48x = 5,536.68 × 1,093.44
  4. Step 4: Simplify right side
    3,690.48x = 6,054,027.38
  5. Step 5: Solve for x
    x = 6,054,027.38/3,690.48
  6. Step 6: Final answer
    x = 1,640.44

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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.