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Finding the Fourth Proportional to 4,616.42, 6,369.26 and 3,197.92

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Solution

The fourth proportional to 4,616.42, 6,369.26 and 3,197.92 is: 4,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.42 : 6,369.26 = 3,197.92 : x
  2. Step 2: Convert to fraction form
    4,616.42/6,369.26 = 3,197.92/x
  3. Step 3: Cross multiply
    4,616.42x = 6,369.26 × 3,197.92
  4. Step 4: Simplify right side
    4,616.42x = 20,368,383.94
  5. Step 5: Solve for x
    x = 20,368,383.94/4,616.42
  6. Step 6: Final answer
    x = 4,412.16

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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.