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Finding the Fourth Proportional to 3,433.64, 5,150.82 and 1,093.82

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Solution

The fourth proportional to 3,433.64, 5,150.82 and 1,093.82 is: 1,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.64 : 5,150.82 = 1,093.82 : x
  2. Step 2: Convert to fraction form
    3,433.64/5,150.82 = 1,093.82/x
  3. Step 3: Cross multiply
    3,433.64x = 5,150.82 × 1,093.82
  4. Step 4: Simplify right side
    3,433.64x = 5,634,069.93
  5. Step 5: Solve for x
    x = 5,634,069.93/3,433.64
  6. Step 6: Final answer
    x = 1,640.84

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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.