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Finding the Fourth Proportional to 3,964.64, 5,471.40 and 2,286.32

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Solution

The fourth proportional to 3,964.64, 5,471.40 and 2,286.32 is: 3,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.64 : 5,471.40 = 2,286.32 : x
  2. Step 2: Convert to fraction form
    3,964.64/5,471.40 = 2,286.32/x
  3. Step 3: Cross multiply
    3,964.64x = 5,471.40 × 2,286.32
  4. Step 4: Simplify right side
    3,964.64x = 12,509,371.25
  5. Step 5: Solve for x
    x = 12,509,371.25/3,964.64
  6. Step 6: Final answer
    x = 3,155.24

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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.