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Finding the Fourth Proportional to 4,696.23, 6,479.83 and 2,706.27

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Solution

The fourth proportional to 4,696.23, 6,479.83 and 2,706.27 is: 3,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.23 : 6,479.83 = 2,706.27 : x
  2. Step 2: Convert to fraction form
    4,696.23/6,479.83 = 2,706.27/x
  3. Step 3: Cross multiply
    4,696.23x = 6,479.83 × 2,706.27
  4. Step 4: Simplify right side
    4,696.23x = 17,536,169.53
  5. Step 5: Solve for x
    x = 17,536,169.53/4,696.23
  6. Step 6: Final answer
    x = 3,734.10

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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.