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Finding the Fourth Proportional to 3,628.64, 5,449.44 and 3,464.48

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Solution

The fourth proportional to 3,628.64, 5,449.44 and 3,464.48 is: 5,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.64 : 5,449.44 = 3,464.48 : x
  2. Step 2: Convert to fraction form
    3,628.64/5,449.44 = 3,464.48/x
  3. Step 3: Cross multiply
    3,628.64x = 5,449.44 × 3,464.48
  4. Step 4: Simplify right side
    3,628.64x = 18,879,475.89
  5. Step 5: Solve for x
    x = 18,879,475.89/3,628.64
  6. Step 6: Final answer
    x = 5,202.91

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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.