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Finding the Fourth Proportional to 4,170.46, 6,256 and 3,960.26

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Solution

The fourth proportional to 4,170.46, 6,256 and 3,960.26 is: 5,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.46 : 6,256 = 3,960.26 : x
  2. Step 2: Convert to fraction form
    4,170.46/6,256 = 3,960.26/x
  3. Step 3: Cross multiply
    4,170.46x = 6,256 × 3,960.26
  4. Step 4: Simplify right side
    4,170.46x = 24,775,386.56
  5. Step 5: Solve for x
    x = 24,775,386.56/4,170.46
  6. Step 6: Final answer
    x = 5,940.68

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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.