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Finding the Fourth Proportional to 3,496.24, 5,245.80 and 3,146.32

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Solution

The fourth proportional to 3,496.24, 5,245.80 and 3,146.32 is: 4,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.24 : 5,245.80 = 3,146.32 : x
  2. Step 2: Convert to fraction form
    3,496.24/5,245.80 = 3,146.32/x
  3. Step 3: Cross multiply
    3,496.24x = 5,245.80 × 3,146.32
  4. Step 4: Simplify right side
    3,496.24x = 16,504,965.46
  5. Step 5: Solve for x
    x = 16,504,965.46/3,496.24
  6. Step 6: Final answer
    x = 4,720.78

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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.