What were the series of 'strange coincidences' that Kakasaheb Dixit experienced on his way to Shirdi, and how were they interpreted?

Kakasaheb Dixit's journey was marked by several events seen as Baba's intervention. As Chapter 51 describes, the first was the sudden appearance of Sai Baba's portrait at Mirikar's house precisely when Dixit was there, fulfilling his heart's longing. The narrative calls this a "strange coincidence." Later, when he and Madhavrao found their train's second-class compartment packed, a train guard who was an acquaintance of Dixit's suddenly appeared and arranged for them to sit in first class. The final coincidence mentioned in Chapter 51 was unexpectedly meeting Nana Saheb Chandorkar at Kopergaon station, who was also on his way for Baba's darshan, leaving all three amazed.