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Finding the Fourth Proportional to 3,965.45, 5,949.18 and 3,263.76

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Solution

The fourth proportional to 3,965.45, 5,949.18 and 3,263.76 is: 4,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.45 : 5,949.18 = 3,263.76 : x
  2. Step 2: Convert to fraction form
    3,965.45/5,949.18 = 3,263.76/x
  3. Step 3: Cross multiply
    3,965.45x = 5,949.18 × 3,263.76
  4. Step 4: Simplify right side
    3,965.45x = 19,416,695.72
  5. Step 5: Solve for x
    x = 19,416,695.72/3,965.45
  6. Step 6: Final answer
    x = 4,896.47

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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.