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Finding the Fourth Proportional to 4,629.60, 6,383 and 3,369.68

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Solution

The fourth proportional to 4,629.60, 6,383 and 3,369.68 is: 4,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.60 : 6,383 = 3,369.68 : x
  2. Step 2: Convert to fraction form
    4,629.60/6,383 = 3,369.68/x
  3. Step 3: Cross multiply
    4,629.60x = 6,383 × 3,369.68
  4. Step 4: Simplify right side
    4,629.60x = 21,508,667.44
  5. Step 5: Solve for x
    x = 21,508,667.44/4,629.60
  6. Step 6: Final answer
    x = 4,645.90

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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.