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England have fallen to fourth in the latest World Rugby rankings following Sunday's 42-39 thrilling defeat to the Springboks. Australia have leapfrogged England into third after beating Ireland on Saturday in Brisbane.
The All Blacks remain number one, a spot they have held since 2009, while Ireland hold second.
England have made vast improvements under Jones since failing to make it out of pool play at the 2015 World Cup, which led to them falling to an all-time low ranking of eighth.
A year ago they were ranked second in the world and were gaining on top-ranked New Zealand. But after four straight test losses in 2018 the team has slid down the rankings.
It could get worse with Wales just 0.05 ranking points behind in fifth. Another victory over Argentina for Warren Gatland's men this weekend, followed by another England defeat would cause another change in the rankings.
World Rugby rankings
1 - New Zealand 93.99
2 - Ireland 88.05
3 - Australia 86.56
4 - England 85.19
5 - Wales 85.13
6 - Scotland 83.83
7 - South Africa 83.81
8 - France 79.10
9 - Fiji 77.93
10 - Argentina 77.54