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Finding the Fourth Proportional to 4,311.38, 6,467.53 and 1,845.54

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Solution

The fourth proportional to 4,311.38, 6,467.53 and 1,845.54 is: 2,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.38 : 6,467.53 = 1,845.54 : x
  2. Step 2: Convert to fraction form
    4,311.38/6,467.53 = 1,845.54/x
  3. Step 3: Cross multiply
    4,311.38x = 6,467.53 × 1,845.54
  4. Step 4: Simplify right side
    4,311.38x = 11,936,084.16
  5. Step 5: Solve for x
    x = 11,936,084.16/4,311.38
  6. Step 6: Final answer
    x = 2,768.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.