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Finding the Fourth Proportional to 4,696.65, 6,481.22 and 2,706.89

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Solution

The fourth proportional to 4,696.65, 6,481.22 and 2,706.89 is: 3,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.65 : 6,481.22 = 2,706.89 : x
  2. Step 2: Convert to fraction form
    4,696.65/6,481.22 = 2,706.89/x
  3. Step 3: Cross multiply
    4,696.65x = 6,481.22 × 2,706.89
  4. Step 4: Simplify right side
    4,696.65x = 17,543,903.67
  5. Step 5: Solve for x
    x = 17,543,903.67/4,696.65
  6. Step 6: Final answer
    x = 3,735.41

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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.