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Finding the Fourth Proportional to 3,964.68, 5,944.80 and 1,626.32

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Solution

The fourth proportional to 3,964.68, 5,944.80 and 1,626.32 is: 2,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,944.80 = 1,626.32 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,944.80 = 1,626.32/x
  3. Step 3: Cross multiply
    3,964.68x = 5,944.80 × 1,626.32
  4. Step 4: Simplify right side
    3,964.68x = 9,668,147.14
  5. Step 5: Solve for x
    x = 9,668,147.14/3,964.68
  6. Step 6: Final answer
    x = 2,438.57

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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.