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Finding the Fourth Proportional to 3,965.41, 5,464.74 and 2,844.40

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Solution

The fourth proportional to 3,965.41, 5,464.74 and 2,844.40 is: 3,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.41 : 5,464.74 = 2,844.40 : x
  2. Step 2: Convert to fraction form
    3,965.41/5,464.74 = 2,844.40/x
  3. Step 3: Cross multiply
    3,965.41x = 5,464.74 × 2,844.40
  4. Step 4: Simplify right side
    3,965.41x = 15,543,906.46
  5. Step 5: Solve for x
    x = 15,543,906.46/3,965.41
  6. Step 6: Final answer
    x = 3,919.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.