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Finding the Fourth Proportional to 3,451.64, 5,152.42 and 3,194.66

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Solution

The fourth proportional to 3,451.64, 5,152.42 and 3,194.66 is: 4,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.64 : 5,152.42 = 3,194.66 : x
  2. Step 2: Convert to fraction form
    3,451.64/5,152.42 = 3,194.66/x
  3. Step 3: Cross multiply
    3,451.64x = 5,152.42 × 3,194.66
  4. Step 4: Simplify right side
    3,451.64x = 16,460,230.08
  5. Step 5: Solve for x
    x = 16,460,230.08/3,451.64
  6. Step 6: Final answer
    x = 4,768.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.