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Finding the Fourth Proportional to 3,305.70, 4,965.40 and 3,195

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Solution

The fourth proportional to 3,305.70, 4,965.40 and 3,195 is: 4,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.70 : 4,965.40 = 3,195 : x
  2. Step 2: Convert to fraction form
    3,305.70/4,965.40 = 3,195/x
  3. Step 3: Cross multiply
    3,305.70x = 4,965.40 × 3,195
  4. Step 4: Simplify right side
    3,305.70x = 15,864,453.00
  5. Step 5: Solve for x
    x = 15,864,453.00/3,305.70
  6. Step 6: Final answer
    x = 4,799.12

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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.