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Finding the Fourth Proportional to 4,696.38, 6,480.91 and 2,706.82

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Solution

The fourth proportional to 4,696.38, 6,480.91 and 2,706.82 is: 3,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.38 : 6,480.91 = 2,706.82 : x
  2. Step 2: Convert to fraction form
    4,696.38/6,480.91 = 2,706.82/x
  3. Step 3: Cross multiply
    4,696.38x = 6,480.91 × 2,706.82
  4. Step 4: Simplify right side
    4,696.38x = 17,542,656.81
  5. Step 5: Solve for x
    x = 17,542,656.81/4,696.38
  6. Step 6: Final answer
    x = 3,735.36

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Why These Related Problems?

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