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Finding the Fourth Proportional to 3,496.63, 5,245.86 and 1,305.38

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Solution

The fourth proportional to 3,496.63, 5,245.86 and 1,305.38 is: 1,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.63 : 5,245.86 = 1,305.38 : x
  2. Step 2: Convert to fraction form
    3,496.63/5,245.86 = 1,305.38/x
  3. Step 3: Cross multiply
    3,496.63x = 5,245.86 × 1,305.38
  4. Step 4: Simplify right side
    3,496.63x = 6,847,840.73
  5. Step 5: Solve for x
    x = 6,847,840.73/3,496.63
  6. Step 6: Final answer
    x = 1,958.41

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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.