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The amount of links required to rank in the top 5 on Yahoo or just on the first page on Google for “public relations”  is in the thousands, which is why the first five results are mainly large portals, public relations society’s or content publishing sites like encyclopedias or news sites.  SEO involves outdoing the other people ranking for those same terms.  For rankings that high you’ll need a strategy above regular link building / promotion / regular SEO efforts – One of the following could be successful  

1. Create “link bait” or  something ( web tool, service, guide, set of articles) valuable enough to  and encourages hundreds of other websites to link to you voluntarily.
2. Publish a large amount of updated information (if you updated your blog daily for a long enough period of time you would have published enough information to obtain the required number of links with regular SEO efforts.)

Doing that will involve a lot of work and creativity.  If anyone reading this is interested I can help with a plan of attack if you’re willing to be that aggressive with your SEO efforts.