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Finding the Fourth Proportional to 4,613.43, 6,365.11 and 3,194.92

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Solution

The fourth proportional to 4,613.43, 6,365.11 and 3,194.92 is: 4,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.43 : 6,365.11 = 3,194.92 : x
  2. Step 2: Convert to fraction form
    4,613.43/6,365.11 = 3,194.92/x
  3. Step 3: Cross multiply
    4,613.43x = 6,365.11 × 3,194.92
  4. Step 4: Simplify right side
    4,613.43x = 20,336,017.24
  5. Step 5: Solve for x
    x = 20,336,017.24/4,613.43
  6. Step 6: Final answer
    x = 4,408.00

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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.