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Finding the Fourth Proportional to 4,696.75, 6,480.96 and 2,707.96

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Solution

The fourth proportional to 4,696.75, 6,480.96 and 2,707.96 is: 3,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.75 : 6,480.96 = 2,707.96 : x
  2. Step 2: Convert to fraction form
    4,696.75/6,480.96 = 2,707.96/x
  3. Step 3: Cross multiply
    4,696.75x = 6,480.96 × 2,707.96
  4. Step 4: Simplify right side
    4,696.75x = 17,550,180.44
  5. Step 5: Solve for x
    x = 17,550,180.44/4,696.75
  6. Step 6: Final answer
    x = 3,736.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.