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Finding the Fourth Proportional to 4,696.68, 6,480.36 and 2,706.78

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Solution

The fourth proportional to 4,696.68, 6,480.36 and 2,706.78 is: 3,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.68 : 6,480.36 = 2,706.78 : x
  2. Step 2: Convert to fraction form
    4,696.68/6,480.36 = 2,706.78/x
  3. Step 3: Cross multiply
    4,696.68x = 6,480.36 × 2,706.78
  4. Step 4: Simplify right side
    4,696.68x = 17,540,908.84
  5. Step 5: Solve for x
    x = 17,540,908.84/4,696.68
  6. Step 6: Final answer
    x = 3,734.75

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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.