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Finding the Fourth Proportional to 3,965.70, 5,941.35 and 3,231.30

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Solution

The fourth proportional to 3,965.70, 5,941.35 and 3,231.30 is: 4,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.70 : 5,941.35 = 3,231.30 : x
  2. Step 2: Convert to fraction form
    3,965.70/5,941.35 = 3,231.30/x
  3. Step 3: Cross multiply
    3,965.70x = 5,941.35 × 3,231.30
  4. Step 4: Simplify right side
    3,965.70x = 19,198,284.26
  5. Step 5: Solve for x
    x = 19,198,284.26/3,965.70
  6. Step 6: Final answer
    x = 4,841.08

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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.