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Finding the Fourth Proportional to 3,196.38, 4,768.02 and 3,145.38

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Solution

The fourth proportional to 3,196.38, 4,768.02 and 3,145.38 is: 4,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.38 : 4,768.02 = 3,145.38 : x
  2. Step 2: Convert to fraction form
    3,196.38/4,768.02 = 3,145.38/x
  3. Step 3: Cross multiply
    3,196.38x = 4,768.02 × 3,145.38
  4. Step 4: Simplify right side
    3,196.38x = 14,997,234.75
  5. Step 5: Solve for x
    x = 14,997,234.75/3,196.38
  6. Step 6: Final answer
    x = 4,691.94

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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.