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Finding the Fourth Proportional to 5,096.54, 7,640.28 and 4,107.65

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Solution

The fourth proportional to 5,096.54, 7,640.28 and 4,107.65 is: 6,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.54 : 7,640.28 = 4,107.65 : x
  2. Step 2: Convert to fraction form
    5,096.54/7,640.28 = 4,107.65/x
  3. Step 3: Cross multiply
    5,096.54x = 7,640.28 × 4,107.65
  4. Step 4: Simplify right side
    5,096.54x = 31,383,557.94
  5. Step 5: Solve for x
    x = 31,383,557.94/5,096.54
  6. Step 6: Final answer
    x = 6,157.81

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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.